I can’t offer much advice, however I have noticed many advertised jobs require 250 hours minimum, so forget the cost saving of 200 (Part 141 school) vs 150 (Part 142) flying hours.
In my opinion, the benefit of the non-integrated course is you may have more flexibility around the time you wish to fly. I commenced in integrated but think I’m soon going to switch to non-integrated. The quality of the instruction is far more important to me than paying minimum cost.
Some interesting relevant reading here:
https://aerocircus.com.au/snag-in-sausage-factory/