There's no reason a solid state pre-amp can't drive three solid state amplifiers.
Certainly, short, low capacitance interconnects would deserve more importance, but the resultant input impedance of the power amps (~1/3) should still be well within the 10:1 ballpark load impedance ratio required of a voltage bridge.
Compared to running your pristine pre-amp signal through an additional stage, I think a passive split would win out unless your pre-amp was tubes or passive itself.
brucek