It sounds like y'all would love the south suburbs, something like Mount Lebanon. You can't stray too far from the city if you still want to see "some liberals," but the immediate south hills are great for that. I would even look at Dormont, although the houses will be a little smaller. It's technically a borough and not a separate suburb, which I believe (?) has some tax implications. Can't describe how because I've never lived there.

Niche, but in terms of cancer treatment, my dad used to travel to Pittsburgh for the UPMC Hillman Cancer Center when he was facing late-stage skin cancer. We lived over 3 hours away in West Virginia and they sent him all the way up here; it's a very good facility.

I think you've done your research very well and this could absolutely be the place for you.