I have had good success using RIT dye on the white VTA wheels. Here are links to posts I've made in the VTA Pic & Paint thread
U.S. Vintage Trans-Am [PICS & PAINT Discussion ONLY!!!]
The main thing to be aware of when dying the wheels with RIT dye is that the amount of time the wheel sits in the solution will affect how dark the end result will look. The wheel will never exceed the shade of the dye you are using, but it may end up being darker (or lighter) than you might expect.
I highly recommend measuring the ratio of dye to water each time you attempt to dye a wheel so you can duplicate your results at a later time. It can be almost impossible to exactly match colors between separate attempts, but you can get close enough where it won't be obvious.
If you only plan on dyeing wheels once, I would recommend dyeing 2 sets of front wheels and 1 set of rear wheels. On most tracks, the front tires seem to wear quicker than the rears. By having 4 fronts and 2 rears, you will be able to race longer with the custom color you created.