OK, so that makes it easier, and a few experiments can go quickly.
I would start by figuring out the Hall effect side of things.
Then with a reading of the engine speed, open loop controlling of a regular hobby quadcopter motor using a regular hobby ESC.
I think you could get far enough to see if it’s gonna work out.
The addition of some feedback to finely control the brushless motor might make a very nice instrument.
a7