My daughter trained as a teacher 3 years ago though the SCITT route. Whilst the consortium of schools awarded QTS status, the PGCE was overseen and awarded by a University.
She had no say in the schools that she was placed in, but they did take practical issues (like accessibility) into account. They had to be contrasting schools. Hers were both comprehensives (no options in this area) but one was a high-performing Catholic school in a leafy area and the other was a more standard school.
I wouldn’t look at a PGCE without QTS. You can teach in maintained schools without a PGCE but you can’t teach without QTS (you can currently teach in an Academy without QTS but that is changing).
My daughter was straight out of university and had no other commitments, but she told me that one of the other trainees in her subject had two young children and still managed to do the training full time (although the provider did offer a part-time option). I assume she had a very supportive husband/partner!
More generally, please don’t be put off by people telling you not to do it! My daughter has now been teaching for three years. She loves her job and is very happy in her school. Behaviour at her school is not awful, the SLT are not horrendous - she finds them very efficient and supportive, and she doesn’t find the workload overwhelming.
No doubt she has been lucky with her school, but as an MFL teacher you should have your choice of school and will be able to be fussy about where you work.
Sixth form colleges are an option, of course. But they don’t pay as well!
I assume you are aware of the advice here but I including the link just in case you are not!
https://getintoteaching.education.gov.uk/routes-into-teaching
Good luck!