you're likely to have to get college (at least associate degree) F1 visa to cover the legal stay with some work rights 'base'.
more than private and possibly few hours afterwards disqualifies you from being eligible for the 'training/instructing' ex-J1 F1 programme. there you go.
OTOH, some local 'community' colleges etc have associate degrees in aviation with flight school connection, which is considered 'on campus' for work purposes/instructing. Your visa sponsor would be college, not the flight school itself. It really depends on you regarding what training you'd need and money to spend.
Just to remind you, Part 61 commercial needs 250hrs aeronautical experience (ie flight and allowed sim time), so you'd still have a lot of hours to knock off, while you train converting etc. That has to be considered if you don't have other class or category flight time following your 'graduation' back in Ph. Yes, some schools doing Part 141 programmes can do reduced CPL times, but that's not likely to allow for someone with all the experience already, to do 'as required' training to end up with 200hrs total and CPL. Then you may still need to work on instructor ratings (CFI&CFII as minimum, but may as well work on the multi instructor rating in the US - not too hard if you have prior twin time/rating and still plenty cash to burn on training and flight time overall).
So, doable, but why would you want to go through so much more spending when the job market in Ph isn't that bad? Are you 'dead set' on going/living in USA?
IF you're enquiring/researching options, don't expect job offers either.
I see you've given up after checking few things. Take my info above as pointers if you change mind again or for benefit of someone else.