PendGB,
Worm gears over 30:1 generally are not back-driveable. The problem is not the gear ratio. It is the worm's lead angle. As far as I know, most other drives are back-driveable, including harmonic drives. Talk to your gear/gearbox vendor, and/or read your machine design textbook.
The inertia of whatever is being driven is multiplied by the square of the gear ratio. For your 20:1 speed increaser, this means your driven inertia is multiplied by 400. That is a heck of a lot! An output shaft that does not budge will turn when you apply enough torque, perhaps with a wrench.
I worked with a system that had a 500:1 MicroMo gearmotor. I was unable to grab and rotate the output shaft. I was able to turn the scanner housing the shaft was attached to. I felt comfortable applying 100[ ]lb.in of torque to the thing. I worked out the torque needed to accelerate the very tiny motor armature to its maximum allowable torque. This proved to be 40[ ]lb.in. I asked, and I was told that gearmotors were breaking.
Do you have a mechanical engineer on site? This can be complicated.
--
JHG