Hi David,
You were kind of on the right track with your solution.
I, not having seen how the gears mesh, would not know if this is possible. Its also difficult to explain without diagrams.
To neutralize gear backlash in equipments I've dealt with, the following was employed.
Its done with spring tension on a two peice gear. The gear consists of two seperate gears on one shaft. One is locked to the shaft, the other can rotate on the shaft.
A spiral spring in between them and the shaft through the centreof the spring. The ends of the spring lock into each of the two gears. One in one side, the other in the opposing gear.
The two gears are rotated a quarter or half a tun in opositte directions to obtain tension in the spring.
This gear assembly is now mated to its drive or following gear. Taking care not to release the spring tension. In effect it becomes three gears for where there was two.
To clarify it. The two gears under spring tension rotate on one shaft as one single gear does. The gear cogs now place tension both ways onto the cogs of the mating drive or following gear. No more gear backlash.
If its clear as mud let me know. It is a difficult concept to explain. It is not all that easy when you see it at first but its not difficult to do.
I thought that the system would have had something to overcome the backlash. If some one tampers with the gears then backlash will be present. I wonder if this happened?
Cheers Marty