tijames, If you love engineering, go for it. I don't know how the BME program is at UConn, but I venture to say that it is the most difficult program on campus here, if not equaly compare to CSE.
If you do a search of the BME program around the US, you'll probably find that the admission GPA into the program is much higher than the average department admission GPA.. at some school, it is higher than the average Med school gpa. If the BME class is curved with average of a 3.4, if you come in with a 3.8 GPA, then its going to hurt you because you are competing with a lot of ambitious people.
If you are sure about medical school, the getting a 3.8 is definately better than getting a 3.4 b/c med school can't help being number ******. If you really love the program, you'll see that the BME program in itself is very broad, at least at my institution. Within the program, you can focus on branch like tissue BME, molecular BME, computational BME, Prothetics BME, etc.. and you will probably be exposed to each of these branch during your junior year.
From my own experience, BME is extremely demanding and challenging. The department cramp three courses worth of materials into 1 class. They also demand a lot of independent learning and problem solving. Each person that was admitted to the department have already done some research, or was doing research. Given that the BME field is new, it will probably be very research oriented, meaning research will probably be a graduation requirement. You are going to have to apply materials from EE, Mech E, Comp Sci, Biol, and Chem E, and material sci at one point or another in your classes. Though it brought down my GPA a little, I don't regret it at all. I think BME more than prepared me for med school, not so much what you learn in the program, though you learn a lot... but more importantly the learning style that you experience... you will definately learn to work under pressure whether you like it or not.
Anyway if you are still checking out BME programs, give me a PM and I'll tell you a little bit about our program. Sorry i'm not going to post the school's name on here.. a little bit of info is, the previouis entering class has an average GPA of 3.8... good luck with everything.