Bex brings up some good points to consider.
I went to Syracuse, so feel free to send me a PM.
They have a good program, although I'm sure things have changed since I was there.
Having the partnership with Syracuse Stage is a huge plus (it's a professional Equity theatre that operates under a LORT contract).
As you mention, you start off right away as a BFA stage management major.
That's not to say you can't change your mind. My class started off with 7 (which was considered large), by the time I graduated it was down to 5.
You do have general ed credits, which must be outside the drama department (so you can take classes in other things that interest you). Within the department you also have electives, so again, you can take classes in other areas (I took several lighting classes, a props class, etc).
"I wish they had more individualized stage management classes, but unfortunately they do not"
This is not necessarily a bad thing. There is only so much stage management you can learn in a classroom. Being able to work on productions helps you learn what works and what does not. Also, taking classes in other areas besides stage management makes you very well rounded. Some knowledge in different areas of the theatre will help you out a ton.