I'm not a huge fan of using terms like falling in love with schools but if your son fell in love with a school why continue visiting? Unless the other schools are academically and geographically superior I'm not sure it's entirely necessary. If your son wants to visit the third school that probably means he isn't really in love with the one school.
I also wouldn't worry about missing HS ball to go on other visits. Your son is trying to be a college baseball player, fall games shouldn't matter too much at this point. He can also easily make up 3 days of school, get this sorted out before you start ruling out schools. He can miss a few english classes to figure out where he wants to go to college. Even if he weren't an athlete, he would still be visiting schools.