The project came to an end when one of the MOSFET gate leads came loose. (I was actually using the bridge to drive a flyback at the time.) This caused the MOSFET to turn partly on and the resulting high dissipation destroyed it. Because of the Ghetto construction, when I tried to replace it the whole H-bridge fell to bits.
I'm now looking for some suitable high-current capacitors to build an even bigger induction heater.