Would I have a chance at top med schools if I go to a not as ranked ug?

<p>I'm planning on attending a [binding] bs/md program in the fall of 2011 (specifically St. Bonaventure university which feeds into George washington medical university). Just before May 1st rolls around I want to make sure of one thing.</p>

<p>If for some reason I decide that I dont want to go to GWmed (i've fallen in love with the school, but the price still gives me a jump), would I still have a good chance at a top med school (assuming I had a 4.0 GPA, good EC's and a good MCAT score). Or would being at SBU
(which is a relatively low ranked undergraduate institution) bar me from other schools?</p>

<p>I honestly dont have much choice in other colleges because I didnt apply very widely (I curse myself for not begging mom for more money to apply to colleges :P). I guess my only other choice is davis, which I dont even really like all that much. What is your recommendation?</p>