Loans Payable - Schedule of Loans Payable (Detail) - USD ($)	Sep. 30, 2022	Dec. 31, 2021
Debt Instrument [Line Items]
Principal amount of loans	$ 482,118,434	$ 359,887,184
Less: Deferred financing costs, net of accumulated amortization	(5,154,201)	(3,798,470)
Loans payable, net of deferred financing costs and amortization	476,964,233	356,088,714
Valencia Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	55,200,000	55,200,000
Less: Deferred financing costs, net of accumulated amortization	(782,995)	(849,750)
Loans payable, net of deferred financing costs and amortization	54,417,005	54,350,250
Revolving Credit Facility [Member]
Debt Instrument [Line Items]
Principal amount of loans	35,350,000	28,850,000
Less: Deferred financing costs, net of accumulated amortization	(760,660)	(927,108)
Loans payable, net of deferred financing costs and amortization	34,589,340	27,922,892
Kacey Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	40,640,000	40,640,000
Less: Deferred financing costs, net of accumulated amortization	(346,414)	(374,663)
Loans payable, net of deferred financing costs and amortization	40,293,586	40,265,337
Industry Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	43,200,000	43,200,000
Less: Deferred financing costs, net of accumulated amortization	(416,452)	(450,099)
Loans payable, net of deferred financing costs and amortization	42,783,548	42,749,901
ON3 Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	66,731,250
Less: Deferred financing costs, net of accumulated amortization	(921,800)
Loans payable, net of deferred financing costs and amortization	65,809,450
West End Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	29,000,000
Less: Deferred financing costs, net of accumulated amortization	(441,230)
Loans payable, net of deferred financing costs and amortization	28,558,770
Palms Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	20,000,000
Less: Deferred financing costs, net of accumulated amortization	(386,632)
Loans payable, net of deferred financing costs and amortization	19,613,368
UBS AG [Member] | GR Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	4,500,000	4,500,000
Less: Deferred financing costs, net of accumulated amortization	(39,143)	(45,290)
Loans payable, net of deferred financing costs and amortization	4,460,857	4,454,710
UBS AG [Member] | FM Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	21,000,000	21,000,000
Less: Deferred financing costs, net of accumulated amortization	(115,918)	(129,773)
Loans payable, net of deferred financing costs and amortization	20,884,082	20,870,227
Citigroup Global Markets Realty Corp [Member] | DST Properties [Member]
Debt Instrument [Line Items]
Principal amount of loans	22,495,184	22,495,184
Less: Deferred financing costs, net of accumulated amortization	(232,944)	(252,090)
Loans payable, net of deferred financing costs and amortization	22,262,240	22,243,094
CBRE Multifamily Capital, Inc. [Member] | Keller Springs Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	31,277,000	31,277,000
Less: Deferred financing costs, net of accumulated amortization	(280,804)	(305,751)
Loans payable, net of deferred financing costs and amortization	30,996,196	30,971,249
CCRE [Member] | CO Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	26,550,000	26,550,000
Less: Deferred financing costs, net of accumulated amortization	(173,320)	(186,338)
Loans payable, net of deferred financing costs and amortization	26,376,680	26,363,662
Goldman Sachs Bank USA [Member] | Buchanan Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	9,600,000	9,600,000
Less: Deferred financing costs, net of accumulated amortization	(69,217)	(74,520)
Loans payable, net of deferred financing costs and amortization	9,530,783	9,525,480
Arbor Private Label, LLC [Member] | Summerfield Property [Member]
Debt Instrument [Line Items]
Principal amount of loans	76,575,000	76,575,000
Less: Deferred financing costs, net of accumulated amortization	(186,672)	(203,088)
Loans payable, net of deferred financing costs and amortization	$ 76,388,328	$ 76,371,912