Just from this post, I don't like your husband very much.
It really sounds like you do most everything and your DH is a bump on a log. I can't help but feel like you shouldn't tip toe around him but rather he needs a good eye opener that this isn't working for you.
I do think you need to start interviewing to find a sitter though. I see postings through craigslists, that would be a good place to start. Also, if you have a local community college they usually all have a billboard where people posts ads.. might be another option.
Hang in there! Go to bed as soon as you get Oliver down for a few days. Try to get rested up.