If you already are inquiring about going to a better program two months into starting residency, do you think you had the qualifications to get into a significantly stronger program to begin with? If not, your efforts may not yield a significant improvement as you will be competing with all the other graduating medical students (leave it be that Path is not that competitive) as a non-traditional applicant which could be a ding on your application. Plus you already left clinical medicine to pursue Path, which is ok, but switching programs/specialties again as a trainee starts to raise eyebrows.
If you were that determined on upgrading, I would recommend finishing out your PGY-1 and then transferring as a PGY-2 into another program. This runs the risk of very limited top tier programs having an available slot, and it will be a crapshoot of who does have an open position vs re-entering the Match when all PGY-1 spots are open. And, if transferring doesn't work out, you're already in a program, so you wouldn't lose your spot if you didn't transfer. On the flip side, what if you re-enter the Match and don't get in a better program? Or even worse, Match into a lower tier program than you're currently in...weigh your risks carefully.
As you already seem to be aware of, whether you left your current program and re-applied or transferred to a new one, it would require the support (and verification) of your PD. You would have to discuss this with them in a p.c. way without bashing your current program i.e. family reasons are usually the best case that they can't argue against.