I finally solved the problem with ratchets that don't have sufficiently fine teeth.

I found a 1/4" drive ratchet with a handle that twists. You twist the handle in either direction and the ratchet face rotates the socket. The handle can remain perfectly motionless in one position.

Naturally, if you wish, you can use it as a conventional ratchet. But, you can get quite a bit of torque with just the twist on the handle. It's good up to about 1/4" before you need the leverage from the ratchet.

It's the best tool that I've ever seen in quite awhile.