Here’s an option.
Find steel tubing that slips inside a brass tube with a good bushing fit. The steel tubing needs to fit over the wire.
Install a push on lock washer to the inboard side of the wire to limit the travel of the inside of the wheel. Then solder a small length of your steel tubing to the wire. The washer needs to be a bit larger diameter than the steel tubing. Leave enough of the inside wire still exposed beyond the steel sleeve to make room for the outboard push on washer.
Drill the wheel out for the brass sleeve. It needs to be a good press fit.
Slip the wheel with the brass bushing over the steel sleeve. Then install another push on lock washer to the outisde of the thin wire still exposed. It will keep the wheel in place and allow free spinning. You can cover it with some sort of spinner.
Here are some examples of push on lock washers.