Gyrocompass?
There are smaller chips, more in your power range, but that TPA3255 isn't expensive. Somebody makes a nice heat sink that parks on top; the power pad is on the top of the chip.
We make a couple of synchro i/o things,
but they are low power, all linear amps. Our main power limit is the transformers.
The big one is 3-phase but currently fixed at 120 degrees, to simulate a jet engine permanent-magnet alternator that powers the engine control computer. Phase angle accuracy doesn't matter. Actually, no accuracy matters!
Since it has an FPGA doing DDS into DACs, it could have programmable phases if anybody wanted it. I think all the phase registers are there already. The only tricky part was the programmable current limiting.