I've finished parts of my basement. It's nice to turn junk space into something very usable.

Consider, in sectioning off a new room, adhering rigid foam insulation onto the concrete walls and floors. It will support plywood subflooring. Then you can frame in normal stud walls with plenty of electrical boxes at usable heights. Insulate the freestanding stud walls. You'll have an easily-regulated space.

Cheers,
Jimi