Sounds as if you have really made the decision to move. If you are asking are you very certain to get into a top-50 university as a transfer student, imo the answer is no: you are coming from what you describe as one of the lowest ranked unis with a GPA 3.5 > (HS info won’t really count at this stage, and emphasizing 2+ year old skills in a different subject than the one that is the proximate reason for your transfer won’t help your case). By all means apply to the shiny names- but also ID some solid schools whose programs are better than yours, where you are more likely to be accepted. If you are at a school ranked 3000+, there is a lot of room between that & top 50.