I can understand your concern. I have two cats and I think about the same stuff. With me its the physical stuff as I am pretty stable mentally. When I was in the hospital last year twice my daughter cared for the cats. Now my neighbor said she would if I need more surgery.
Do you have friends that can take the dog for a while? Its tough, but you need your dog, and your dog needs you! The last thing now is to loose that dog. I am with you...I could never afford any place for my cats either so that is totally out of the question for me too.
Call your church if you have one...anything......call a pet store, the pound....neighbors....I don't know your living situation but its good now to explore and see what is out there...if you feel well enough to do this.
I will be thinking of you. Grey will probably also have some great ideas as dogs are her life too!! I know you will get more people with some good responses. This way when you find some people to care for the dog you can always have them there in case you need them again.

Think positive...Oh my cat Lucie has anxiety too...not from any situation really but she is getting older and I think about two months ago she had a little stroke as she was behaving extremely irrationally for a few days. She even peed in her toys which has never happened. She never went anywhere but the kitty litter. Anyway she is back to normal but has anxiety and chews her tongue when stressed.

Thinkin of you. Let me know what happens. Give doggie a hug from me!!!