You don't need a super complicated rig to do what you desire. Sure you can use a complicated speed control driving an industrial compressor, but why? It doesn't do more, it just costs more. Just modify an existing outdoor unit. Having a grid tie just makes it easier.
The main concern or three in your unique system would be:
Domestic hot water or space heater duty
Amount of excess electrical power
Direct DC operation from pv panels or tied to ac mains power / inverter
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