Big VFDs are available, but once you go past 2.2/3kw, the price increases quite a bit.

You could run it from a phase converter, however once you get past a few kw you're into quite substantial wiring and current requirements on 240V. Most common screw compressors start around 7kw, which would need 30A from 240V and that's before you consider the startup surge from the motor.
They are alot quieter, but you need to make sure they've been reguarly maintained, as any issues lead to efficiency dropping of quickly, and they're definetly not cheap to fix!