Drove over a rattlesnake. Venom on tires?

[VenomAllOver]

I drove over what had the coloring, markings, and size of a timber rattlesnake. It might have already been dead when I drove over it, but it was laying right in the road while I was getting onto the highway. I didn't do it intentionally! My brain didn't realize what it was until it was too late.

Anyway, can running over a highly venomous snake with a big heavy car at a high speed get venom all over your tires/side of your car? I ran over it with the tire directly underneath my driver seat. Should I get my car washed now? Should I avoid touching that driver's side door until I can wash it?

Do I need to take any other precautions? This just happened about a half hour ago. Has anybody (in history, not on this site) ever gotten any of the effects of an envenomation from being exposed to venom that squirted out of a run over snake? Do I need to shower now or something?