Am I overthinking this?

If you can get refundable airfare, or fly the wonderfully flexible Southwest, then I guess it would be reasonable.

I’m a big fan of admitted students days though and would encourage you to consider doing those. They suited my kid’s personality better than individual visits. He was not the kind of person who would go out of his way to talk to current students or professors, so being in an environment where that was encouraged made a big difference to him. He also enjoyed meeting other accepted students who were his potential classmates.