Brad, I live in Terre Haute. 45 years ago my dad built phase converters for farmers using capacitors and another 3 phase motor. It was called a dynamic converter. I have a 3 phase motor, 3 or 5 hp? It was used on a air handler, so it may be 3 hp and they needed 5 hp. It was like new. It's been sitting on my garage floor for about 35 years. I also have buckets full of old run capacitors from air conditioners, caps have PBCs in them. I don't rememeber the rule of thumb, so many MFD/hp for start and some many MFD/hp for run. That said I think I have enough to make a 220v 3 phase converter. However with converters you are lucky to get 70 % efficiency.
Then you will need a 220v 3 phase motor and an electronic device to control it's speed. By the time you get done, you will have a pant load invested.
Where I used to work, they had a 100 year old off set printing press. It was powered by an AC universal motor that rubbed on the flywheel. The foot control moved the burshes which controlled the speed of the motor. I've only seen one motor like it. The motor was so old, it had to be rebuilt, insulation was falling off wires.
It would be cool to find a motor like that. Universal motors produce max torque at any RPM.