The real problem with these types of cases is not "was there a malfunction" (at least, assuming the car wash employees were the ones to "load" the car into the track), it's "prove that your rims weren't damaged before you used our car wash".
Thanks to years of people trying to get car washes to pay for damages the wash didn't cause, most now put up a hell of a fight, even on legitimate cases. But if you can show that your rims were not scratched or curbed or dented, etc. before they went in (any recent photos maybe?), I think you have a pretty good shot in small claims.
Either way, good luck.