Interesting question, and you might get some unexpected answers. It has been said here before (in this field at least), that the school you go to is only "as good as your first job". Once you get through a certain door in the industry, the school you went to and what you may have learned there becomes a blip on the radar and likely has very little
effect on future opportunities (again, within the industry, and this may not be everyone's experience). All I know is that once you work for a few big companies, they stop asking you about school and are much more interested in your "working knowledge".
I guess if I had it to do over again, I would probably go for an electrical or mechanical engineering degree, and perhaps minor in Business. Heck, even Computer Science or Electronics would be pretty useful. I learned pretty much everything I need to know about
theatre by getting out there and doing it (and learning from others who had done it for much longer) - in a variety of situations and working all kinds of positions. That said, I'm in Live Events/Pyrotechnics and you seem to want to do
theatre, so YMMV. Just try not to limit yourself to tech
theatre. Make yourself as well-rounded as possible because you may need something to fall back on. A Tech
Theatre degree just seems to lose it's relevance rather quickly once you get outside of our little corner of the
universe. I know you don't see that happening right now, but life is funny like that.
I just think you'll find very few seasoned pros who will say "man, I wish I had gone to a bigger/better school". They may even say the opposite. I'll be as curious as you to read the responses.