Yeah, I can see the problem if he's not getting the inheritance for a while, but in my view he is morally obligated to pay you something towards all the joint expenses you covered that are now part of your debt. I would be furious to be stuck with a 10K debt knowing it was partly accrued by a spouse who is now getting to skip away from it and collect an inheritance.
You may wish to ask your lawyer about it. But it's not worth pursuing at the expense of your peace of mind, or if there are strings attached.
I'm not sure if I already suggested that you may want to take a less stressful job (such as the college one) even if it's less money. You might be able to find a cheaper place to live, for instance. I don't know if there are housing co-ops where you live. They are non-profit housing (not government) where you buy shares (usually 2-4K) and then pay a monthly housing charge well below market rent. We lived in one.
Anyway, remember this will pass and you will find a decent job and make friends and feel better. That's great about the acquaintance who wants to go skiing. I also think it's great you're being careful about males right now because I know how tempting it would be to jump into something when you're feeling lonely.