With a large pulley I can see this working, but I agree with Barry, at least for a small pulley this might be trouble.
As it happens, I am contemplating alternatives to reduce belt stretch, so this is something I’m interested in.
You might be able to make a little “tank tread” with a short closed-loop belt running inside-out. This is an awful drawing but trying to show the bumpy side is the side with teeth. There would be three idlers. The drive gear has a healthy amount of wrap, and the track has plenty of engagement with the tank tread.
[attachment file=112213]
