Austin Cindric has given a pretty good explanation of why rain tires just won't work on ovals.
Yes, but we’ve seen this weekend in Texas a lot of mist and drizzle. I think that a wet tire would work. Heavy rain like Charlotte (or even Daytona’s Xfinity race earlier in the year) would be an issue. I’m suggesting you relax the rules. Austin Cindric is talking about an extreme.
But! But, I will answer beyond what Austin said that ultimately fails my, and many others good idea; tire tech. It’s there. Especially given how heavy modern cars are getting, plus the fact F1, IndyCar, etc. have been running wet weather tires for, like, ever, we are there already. I don’t think that is the tire issue. The issue would be in justifying bringing an entire extra truck hauling wet tires, just waiting for the opportunity to be used. Is that huge extra cost worth not pushing a race back due to light wet weather?
I still feel it could be something to test. I know Terry Labonte tested the concept in the mid 90s @ Martinsville, but tire tech has exlploded since. We will see. I think it’s viable, but like other parts of racing, cost will judge it’s eventual use rather than anything else (except the silly hybrid in F1, but off tangent).