How can I improve this 31-bit SuperFashHash implementation in VBA?

Question

I'm implementing a variation of the SuperFastHash in VBA for use in Excel (32-bit version, so no LongLong available) to hash strings.

To get around the limitations of signed 32-bit Long values, I'm doing the addition and bit-shifting using Double types, and then converting from Double to Long in a way that truncates it at 31 bits (the maximum positive value -- don't want to deal with two's complement and signs).

I'm getting answers and avoiding overflows so far, but I have a suspicion I'm making some mistakes in translation, since most implementations use all 32 bits of a uint and also deal with individual bytes from an array rather than 16-bit values coming from AscW().

Any suggestions of improvement, especially of the string-handling, bit-shifting, or the final avalanche?

Public Function shr(ByVal Value As Long, ByVal Shift As Byte) As Long
    shr = Value
    If Shift > 0 Then shr = shr \ (2 ^ Shift)
End Function

Public Function shl(ByVal Value As Long, ByVal Shift As Byte) As Long
    If Shift > 0 Then
        shl = LimitDouble(CDbl(Value) * (2& ^ Shift))
    Else
        shl = Value
    End If
End Function

Public Function LimitDouble(ByVal d As Double) As Long
    '' Prevent overflow by lopping off anything beyond 31 bits
    Const MaxNumber As Double = 2 ^ 31
    LimitDouble = CLng(d - (Fix(d / MaxNumber) * MaxNumber))
End Function

Public Function SuperFastHash(ByVal dataToHash As String) As Long
    Dim dataLength As Long
    dataLength = Len(dataToHash)
    If (dataLength = 0) Then
        SuperFastHash = 0
        Exit Function
    End If
    Dim hash As Long
    hash = dataLength
    Dim remainingBytes As Integer
    remainingBytes = dataLength Mod 2
    Dim numberOfLoops As Integer
    numberOfLoops = dataLength \ 2
    Dim currentIndex As Integer
    currentIndex = 0
    Dim tmp As Double
    Do While (numberOfLoops > 0)
        hash = LimitDouble(CDbl(hash) + AscW(Mid$(dataToHash, currentIndex + 1, 1)))
        tmp = shl(AscW(Mid$(dataToHash, currentIndex + 2, 1)), 11) Xor hash
        hash = shl(hash, 16) Xor tmp
        hash = LimitDouble(CDbl(hash) + shr(hash, 11))
        currentIndex = currentIndex + 2
        numberOfLoops = numberOfLoops - 1
    Loop
    If remainingBytes = 1 Then
        hash = LimitDouble(CDbl(hash) + AscW(Mid$(dataToHash, currentIndex + 1, 1)))
        hash = hash Xor shl(hash, 10)
        hash = LimitDouble(CDbl(hash) + shr(hash, 1))
    End If
    '' Final avalanche
    hash = hash Xor shl(hash, 3)
    hash = LimitDouble(CDbl(hash) + shr(hash, 5))
    hash = hash Xor shl(hash, 4)
    hash = LimitDouble(CDbl(hash) + shr(hash, 17))
    hash = hash Xor shl(hash, 25)
    hash = LimitDouble(CDbl(hash) + shr(hash, 6))
    SuperFastHash = hash
End Function