Again, if you could tell us what the AC aand load are, we might be of more help...
Offhand, consider IGBTs for high peak loads. Lower voltage drop than MOSFETs (more current density per die area -- cheaper, too!). You do have to be careful to avoid the combination of too low Vge and too high Ic, which leads to desat and huge power dissipation (linear -- short circuit -- conditions!). (MOSFETs do this too, but 'desat' (linear range operation) occurs at higher voltages and lower currents, so it's destructive after milliseconds, not microseconds.)
For a bidirectional switch, you need two, back to back (emitter to emitter), with co-pack diode, and G-E supplied from an isolated gate driver circuit.
You may be able to get away with less, such as if the load doesn't need DC -- in ye olde CRT circuit, the "S correction" capacitors were switched with single MOSFETs to GND (not back-to-back), to maintain a linear sweep over a wide range of horizontal frequencies (31-106kHz). The signal was cap-coupled, so when 'off', the body diode simply charged the capacitor to peak voltage and that was that.
Tim