Make some stickers up for your business. Go to the track and go into the pits.
Find a low budget team(s) - someone with just one guy, a cheaper car, maybe a car dolly, and give them a few bucks to put your sticker on their car.
That will help out the little guy as you hope to do, and after you do that, that guy is going to tell everyone who will listen about how your business sponsored them. You can't get better word of mouth than that.
I would be one of those single guy teams that would go the extra mile for that money!