We are contemplating a trip through Tornado Alley in April during our kids' spring break. It would be the first half of April and we'd be traveling from Utah through Colorado, Oklahoma, Kansas, Arkans...
Don't overthink it. Get a good weather app on your phone and take off. The odds of dying in a tornado are 1:60,000. The odds of dying in a car crash getting there are 1:103. You'll usually have several hours advance notice of a tornado watch in a particular area so adjust accordingly
April is the biggest month for massive thunderstorms, May for tornadoes, though they can really hit anytime of the year. Dallas just had a big one hit a few miles from my job this past October.