Commitments and Contingencies - Additional Information (Detail)			1 Months Ended			2 Months Ended	3 Months Ended		9 Months Ended		12 Months Ended
	Sep. 26, 2019 USD ($) RenewalPeriod	Mar. 01, 2018 USD ($) RenewalPeriod	Dec. 31, 2019 USD ($) ft²	Apr. 30, 2019	May 31, 2014	Feb. 28, 2017 USD ($) shares	Sep. 30, 2020 USD ($) Hotel shares	Sep. 30, 2019 USD ($)	Sep. 30, 2020 USD ($) ft² Hotel	Sep. 30, 2019 USD ($)	Dec. 31, 2019 USD ($) shares	Dec. 31, 2018 shares	Dec. 31, 2017 USD ($) shares	Dec. 29, 2016 USD ($)
Operating Leased Assets [Line Items]
Maximum amount allocated to purchase common stock under ESOP														$ 5,000,000.0
Number of common stock, shares purchased | shares						682,500	0				0	0	682,500
Purchased common stock, value						$ 4,900,000							$ 4,900,000
Hotel Ballast [Member]
Operating Leased Assets [Line Items]
Monthly contribution of room revenues									4.00%
Restricted cash reserve									amount equal to one-twelfth (1/12) of the annual real estate taxes due for the properties
The DeSoto [Member]
Operating Leased Assets [Line Items]
Monthly contribution of room revenues									4.00%
Restricted cash reserve									amount equal to one-twelfth (1/12) of the annual real estate taxes due for the properties
DoubleTree by Hilton Brownstone-University [Member]
Operating Leased Assets [Line Items]
Monthly contribution of room revenues									4.00%
Restricted cash reserve									amount equal to one-twelfth (1/12) of the annual real estate taxes due for the properties
Double Tree by Hilton Jacksonville Riverside [Member]
Operating Leased Assets [Line Items]
Monthly contribution of room revenues									4.00%
Restricted cash reserve									amount equal to one-twelfth (1/12) of the annual real estate taxes due for the properties
DoubleTree Resort by Hilton Hollywood Beach [Member]
Operating Leased Assets [Line Items]
Monthly contribution of room revenues									4.00%
Restricted cash reserve									amount equal to one-twelfth (1/12) of the annual real estate taxes due for the properties
Whitehall [Member]
Operating Leased Assets [Line Items]
Monthly contribution of room revenues									4.00%
Georgian Terrace [Member]
Operating Leased Assets [Line Items]
Monthly contribution of room revenues									4.00%
Restricted cash reserve									amount equal to one-twelfth (1/12) of the annual real estate taxes due for the properties
Double Tree By Hilton Philadelphia Airport [Member]
Operating Leased Assets [Line Items]
Monthly contribution of room revenues									4.00%
Minimum [Member]
Operating Leased Assets [Line Items]
Franchise fees of room revenues									3.00%
Additional fees of gross revenues from the hotels									3.00%
Franchise agreement expiry date									2021-11
Maximum [Member]
Operating Leased Assets [Line Items]
Franchise fees of room revenues									5.00%
Additional fees of gross revenues from the hotels									4.00%
Franchise agreement expiry date									2030-10
Maximum [Member] | ESOP [Member]
Operating Leased Assets [Line Items]
Borrowed amount														$ 5,000,000.0
Highgate Hotels L.P [Member]
Operating Leased Assets [Line Items]
Initial terms of master management agreements									3 years
Master management agreement expiration date									Mar. 01, 2021
Chesapeake Hospitality [Member]
Operating Leased Assets [Line Items]
Number of wholly-owned hotels operated under master management agreement | Hotel							10		10
Expiry date of master management agreement									on March 31, 2025 and may be extended for up to two additional periods of five years each, subject to the approval of both parties.
Hyatt Centric Arlington [Member]
Operating Leased Assets [Line Items]
Monthly contribution of room revenues									4.00%
Hyatt Centric Arlington [Member] | Franchise Agreement with Affiliate of Hyatt Hotels Corporation Operating as Hyatt Centric Arlington [Member]
Operating Leased Assets [Line Items]
Rent expense							$ 28,166	$ 141,587	$ 134,685	$ 474,945
Rental payments per year in base rent under ground lease		$ 50,000
Ground lease percentage rent on gross rooms revenues in excess of thresholds		3.50%
Initial term of ground lease expires year		2025
Number of additional renewal periods extended under ground lease | RenewalPeriod		5
Duration period under ground lease for each renewal periods extended		10 years
Hyde Beach House [Member] | Management Agreement for Parking Garage and Poolside [Member]
Operating Leased Assets [Line Items]
Rent expense							67,749	0	$ 203,247	0
Lessee, operating lease, option to extend									initial term that expires in 2034 and which may be extended for four additional renewal periods of 5 years each
Lessee, operating lease, existence of option to extend [true false]	true
Annual payment	$ 270,100
Lessee, operating lease expiration year	2034
Number of additional renewal periods | RenewalPeriod	4
Additional renewal of agreement	5 years
Williamsburg Virginia [Member]
Operating Leased Assets [Line Items]
Area of commercial space leased | ft²			8,500
Rent expense			$ 218,875				56,042		$ 167,706
Lease, agreement term			10 years								10 years
Lease rent increase each successive period percentage			3.00%
Tenant improvement allowance			$ 200,000								$ 200,000
The DeSoto Hotel Property [Member]
Operating Leased Assets [Line Items]
Area of commercial space leased | ft²									2,086
Operating lease, expiring date									Oct. 31, 2006
Duration period under renewal option second									5 years
Expiration date three under renewal option second									Oct. 31, 2021
Rent expense							18,246	18,246	$ 54,738	54,738
Hotel Alba [Member]
Operating Leased Assets [Line Items]
Rent expense							$ 661	$ 412	$ 1,963	$ 1,713
Lease agreement				5 years					5 years
Commencement date of agreement				2019-07					2009-07
Lessee, operating lease, option to extend									In May 2014, we extended the agreement for an additional five years.  We signed a new agreement in April 2019, which commenced in July 2019, goes for five years and can be renewed for an additional five years.    The new agreement expires in July 2024,
Lessee, operating lease, existence of option to extend [true false]				true	true
Operating lease, expiring date									2024-07
Annual payment									$ 2,432
Additional renewal of agreement				5 years	5 years		5 years		5 years
Furniture, Fixtures and Equipment [Member]
Operating Leased Assets [Line Items]
Financing arrangement expiration date									2021-10
Financing arrangement expiration date									2025-06
Six Year Operating Lease Property [Member] | The DeSoto Hotel Property [Member]
Operating Leased Assets [Line Items]
Duration of operating lease term									6 years
Ninety Nine Year Operating Lease Property [Member] | The DeSoto Hotel Property [Member]
Operating Leased Assets [Line Items]
Duration of operating lease term									99 years
Operating lease, expiring date									Jul. 31, 2086
Rental income recognized during period									$ 0
Original lump sum rent payment received									$ 990