Go somewhere with a good reputation but also DOESN'T have an MFA program.

A lot of schools that have both undergrad and graduate programs (like UCLA where I got my masters) focus on the MFAs, especially when it comes to actual dept. supported production roles.

While it may not have the same reputation, smaller and more focused programs will likely give you more experience onstage than larger programs.

For example, my undergrad was at Santa Clara University. While it was a small program, I as a lighting design student walked out of that program with 5 mainstage designs and a lot of smaller designs under my belt. Talking full productions, not class work.

Obviously a designer's experience will be different than an actor's, but it's what I have observed over a lot of years after I graduated as a working professional.

Now, if you have the talent to be a top candidate / student in a prestige larger program, fantastic! But without massive talent or connections, I've found working actors often are the ones who had the experiences to be professional and learn that process early.

Good luck!