OP, I’m sorry you’re getting flamed by so many for being/wanting to be a SAHP. That’s clearly not the case. 2.5 days in a lower paid job and then covering childcare, there will be hardly anything left after that. No wonder you can’t contribute much and are reticent to go full time.
I would be doing the sums and showing DH exactly how much more you’d have after childcare if you were FT. You also need to account for more deductions for tax and NI etc. I would bet that it wouldn’t be enough to get a much bigger mortgage/move house, as a mortgage provider would be looking at your childcare costs too.
I work 16 hours a week with a young primary aged child. DH high earner. He knows full well that my ability to do every school drop off, pick up, keep the house nice, homework with DD, cook dinners, washing, all the shopping etc. - that’s easily where the other 22 hours of a FT job go. And that we don’t want DD in wraparound every day because that would just cost more and we’d have less time together. I also have flexibility in my work if DD was unwell.
There’s value in what you’re doing, and your DH should really know that with interest rates etc the way they are now, that you working more (and paying for more childcare) and him in contract work would mean that you wouldn’t be able to move house within a few months. He’s being unrealistic.
Looking at some courses to do to improve your employability when your DC is a bit bigger would be a great thing to start doing now though. And that might be what your DH needs to see, that you’re playing the long game.