i think content overrules anything, but ask yourself if you did anything impressive/medically related in your first 2 yrs anyway. ie, though its a weeder class, getting an A+ in bio101 does not a good doctor make; however, getting an A in bio31290 "rational drug design" (something you obviously would take much later in your student career) would be better indicated for good future physicians. basically, while you might get more personal LORs from private school, LORs from UT are probably gonna have more relevance to your medical mission, simply b/c more advanced classes delve into the core of medicine than intro classes can.
avoid getting more than one "character" letter, ie, a letter where all a person can do is say blah blah blah yeah theyve got what it takes to be a doctor. LORs from people who youve achieved something with/for are much more superior: your crew coach, research mentor, volunteer/clinic director, and a prof youve had multiple classes [and concurrently, successes] with.
