The rig is about 98% ready, but the big problem is what to use as a stabilizer for my action figures. The alligator plier-thing, mind you, is automatically ruled out. Ideally, I would like to have my stabilizer have a similar design structure to the one featured in the attached photo, a flat surface to place strong double sided tape onto it so I can attach it to the figure’s/model’s back. Not being a welder, of course, I cannot create my own from scratch. So I was wondering if any of you can come up with suggestions for something just as effective.
I would put the pivot point as close to the actual puppet (or action figure) as possible so it can turn on it's own axis. I don't use action figures, so with my rigs there is a ball soldered onto a rod, and the rod goes into the puppet and into the hip block or chest block. With your idea of the plate and double sided tape, a short rod would come out of the plate, with a ball on it, close to the plate.
If you can't drill the ball and silver solder the rod into it, there may be some ready made thing you can find. I have bought a wire CD rack at a charity shop that had 4 ball feet. Each foot was a steel ball welded or soldered onto the wire, so I cut it off with about 15mm of wire attached to the ball. Then for the rig, I had a pair of plates that could grip the ball.
For one puppet I had to epoxy the rod into the wooden block to make it stay. For another, I could jam it in and it seemed to grip well enough. It would be best if you could solder the rod into a hole in the plate, but if the plate has enough depth, epoxy glue would probably work well enough.
For a robot with exposed armature, I put the rod into a hole in the hip block, then had a smaller hole drilled at right angles through the block and through the middle of the rod inside the block, so I could put a 1/16th" split pin through it to hold the rod in place and stop it coming out or rotating. Maybe you could do that with the plate. With mine, it was so I could remove it and put it in either the back or front of the puppet, depending on the camera angle for the shot.