<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0508</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2024-10-25</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0002002473</issuerCik>
        <issuerName>Bowhead Specialty Holdings Inc.</issuerName>
        <issuerTradingSymbol>BOW</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000351040</rptOwnerCik>
            <rptOwnerName>AMERICAN FAMILY MUTUAL INSURANCE COMPANY, S.I.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>6000 AMERICAN PARKWAY</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>MADISON</rptOwnerCity>
            <rptOwnerState>WI</rptOwnerState>
            <rptOwnerZipCode>53783</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See Remarks</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2024-10-25</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1362285</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>27.695</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4700761</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F3"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The shares were sold in connection with an underwritten public offering of the Issuer's Common Stock (including pursuant to the underwriters' exercise of their over-allotment option) at a net price per share of $27.695, after underwriting discounts and commissions.</footnote>
        <footnote id="F2">Includes 117,679 shares that were distributed to American Family Mutual Insurance Company, S.I. (&quot;AFMIC&quot;) in connection with the dissolution of Bowhead Insurance Holdings LP.</footnote>
        <footnote id="F3">GPC Partners Investments (SPV III) LP (&quot;GPC&quot;) and AMFIC are parties to a Voting Agreement, dated May 22, 2024, and each may be deemed to be members of a &quot;group,&quot; as defined in Rule 13d-5 of the Securities Exchange Act of 1934, as amended. The share ownership reported herein does not include any shares owned by GPC, and AFMIC disclaims membership in a group with GPC and disclaims beneficial ownership of any shares owned by GPC.</footnote>
    </footnotes>

    <remarks>Troy Van Beek, the Enterprise Chief Financial Officer and Treasurer of AFMIC, was nominated as a director of the Issuer pursuant to the Investor Matters Agreement, dated May 23, 2024, between AFMIC and the Issuer. Accordingly, AFMIC may be deemed to be a director by deputization for purposes of Section 16 under the Securities Exchange Act of 1934, as amended.</remarks>

    <ownerSignature>
        <signatureName>American Family Mutual Insurance Company, S.I., By: /s/ Troy Van Beek, Chief Financial Officer</signatureName>
        <signatureDate>2024-10-28</signatureDate>
    </ownerSignature>
</ownershipDocument>
