You're right about part time being difficult. I was looking at going part time this year because I was finding full time work and ivf was becoming too much to maintain. I'm a high school teacher and although work was happy to sign me off as a 0.6 load, the timetable wasn't so flexible (I'm the only teacher for my subject area) and I was looking at going in 5 days a week anyway.
I'm assuming I'll have the same issue going back so my choice will be to stick with full time, change schools (and probably have the same issue), or change career. TBH I think with a young child I'd prefer a job that I can switch off from at the end of the day, and teaching isn't it.