You won't hurt the motors with 36 volts (for short bursts).
They're either designed for 36 or for 24 volt operation.
So, 12 volts will just move 'em slowly, if at all.
I'd take one off and gently disassemble it (take pictures so you know how to put it back together).
There's a very good chance you can free it up, and get it working again.
However, the hardware stores have large diameter threaded rod stock in two or three (?) foot lengths.
You could get a piece of that, some nuts and washers, and probably fabricate something to hold your dish in place.
I still vote for working on the motor, though.
In a previous thread, Pendragon described restoring a
rusted-up H-H mount that was well beyond its freshness date!
I think an oil-soak was largely responsible for that success.
edit:
Okay, one last thought...
Hardware stores will have aluminum or steel L-bracket material, either drilled or not.
It's one inch by one inch and multiple feet long.
Cheap, easy to work with, etc. Be creative.
