Three things immediately come to mind reading your post.
First of all, as others have said you do not need to ED anywhere. If you are undecided where to ED, you probably should not ED anywhere.
Secondly, there are a LOT of universities that are very good for premed and that are also very good for psychology. You could go to any one of at least 200 colleges and universities in the US and find a good program for both. If you have any realistic chance at all to get accepted to Tufts, then you should be in very good shape to be accepted to some affordable university that has very good psychology and premed programs.
Finally, when I hear “premed”, I think “medical school”. When I think “medical school”, I think “expensive”.
Let’s suppose that you pay full price at Tufts. Then you get accepted to a medical school. They you pay full price for medical school. Remember that the cost of university in the US keeps increasing every year. By the time that you are done with 8 years of university, you might very well be getting close to a total cost of $1,000,000. Do you have a million dollars to spend? (EDIT: $700,000 or $800,000 might be more accurate, but this is still a lot).
Backing up a step, can you afford to attend any of UVA, Tufts, CMU, and BC without taking on any debt at all? If you do attend one of these schools, will you still have money left in your college fund to help pay for medical school?
I know a couple of doctors. I have asked them where the other students in the same program came from. The answer was “all over the place”. If you look at any highly ranked medical school, and look where the various students in that program got their bachelor’s degree, you will see a very, very wide range of universities. You do not need to attend a university with a medical school.
Top ranked universities such as Harvard, or Tufts, do get a higher percentage of their graduates into medical school when compared to more average universities (such as perhaps U.Mass Amherst, just to pick a very good but not “top 50” university in the same state). However, most of this, and quite likely all of this, is due to the very high academic strength and determination of the students who start off at Harvard and Tufts in the first place. For any one very strong student, it is not clear whether it is better to start off in the bottom 1/3 of students at Harvard, the middle 1/3 of students at Tufts, or the top 1/3 of students at U.Mass. My personal guess is that in terms of your chances to get into a top ranked medical school, it just does not matter. Your chances of getting accepted to medical school are probably about the same either way. Your ability to avoid crippling debt along the way might depend upon which university you start with.
Just for context, no one in my immediate family is a human doctor. Both daughters did have majors that overlapped a great deal with premed requirements. Both have friends who were premed (at least one of whom is now a doctor, with a couple more friends currently in medical school). One daughter was pre-vet, and is currently in a very good DVM program. Her undergraduate university was not ranked in the top 100 in the US. Her DVM program is ranked in the top 5 in the US. In two years if all continues to go well she will be “Doctor TwoGirls”, but her patients will be large, furry, and will be walking on four legs. She did pick relatively affordable universities along the way which will help her a lot after she gets her DVM.
Personally I would suggest that you do not apply ED anywhere, make sure that you have applied to some schools that are likely to be affordable, and then compare offers when they arrive in early 2024.