I'd try and find out exactly what you meant by a "floating current source".
45Hz is essentially DC, +/-100uA in 10mA is +/-1% and 20V of common mode voltage is within the output swing of an op amp like the Texas Instruments (was Burr-Brown) OPA452so you could probably use it to make a Howland current source as described in Horowitz and Hill's "The Art of Electronics", if your idea of "floating" allows a common ground.
If you only wanted either only postive or only negative current, then a P- or N-channel FET would do the same job with fewer components.
--------- Bill Sloman, Nijmegen