Visting KY in Spring?

I want to take the family to Bowling Green, KY to tour the Corvette Assembly Plant and Corvette Hall of Fame. Spring has advantages before schools let out, and America hits the highway. And, crowds come to such attractions. However! My youngest would panic if we were caught on the road during a storm with tornadic activity. And, personally, I’d like to avoid that myself. So, with that in mind, is one month statistically better than another to pick to go to avoid “tornado season”?