Well, if you are sick of some of the rougher parts of DFW, then you should avoid Rice. Besides, the private schools in Texas are at a disadvantage when it comes to networking, anyway, as compared to UT and A&M.
I think you should forget about UTD (not sure about your financial situation) and attempt to go to either A&M or UT. But you are probably going to have to visit both schools and towns in order to make your decision. I don't think we'll be much help on here.
I really have to ask why it sounds like Rice has been ruled out by most of the people responding. True, it's harder to maintain a high GPA at Rice, but Rice students usually do really well in med school placement.
Rice's med school placement (particularly into the top med schools) is considerably better than UT and A&M, for whatever reason(s). This is also true for other professional and graduate programs. As someone said earlier, if you can get into Rice and afford it (and you like it), go there. If not, I would recommend UT over A&M as it has a better reputation.
If the original poster is a good enough student to get into medical school, it's not going to matter where he went. That percentage of students from UT and A&M who didn't get into medical school, even if they went to Rice instead, I doubt they would have gotten into medical school. Your point is simply a reflection on how Rice's admission standards are a little tougher.
There's more to going to school than simply academics, and if the original poster goes to UT or even A&M, he's going to have more opportunities for a social life that he isn't going to have at Rice. As far as pre-medical goes, I woudn't say that UT has a better reputation than A&M.
It's true that if you could have gotten into a top school, you're likely to do well anywhere. For whatever reason, Rice has top-notch med school placement. I could attribute it to quite a few things: a personal environment with better teacher/student relationships and recommendations, more academically challenging environment full of students with similar goals, etc. It goes beyond admission standards. Rice offers something very special, else it would not have placement into top law/med/business schools that is more in the league of Northwestern, UChicago, etc.
As far as pre-medical goes, I woudn't say that UT has a better reputation than A&M.
It's not a matter of reputation but statistical data.