Obviously, I know nothing about your situation, and it IS easy for me to say things. But I'm motivated by wanting to help.
I just... think it sad to see you, ten years from now saying:
"Yes, these have been ten miserable years of marriage, ten years when I could have been happy alone or with a mate, but that would have meant declaring bankruptcy or losing my dogs, one of whom died last year and one the year before. So, yes, I'm out the ten best years of my life, but the dogs had a good nine years and my creditors love me."
I don't advocate abandoning pets. I don't advocate cheating creditors. But I don't think it's right to make whatever marital decision is in the best interest of the pets and the creditors.
And I'm not saying "just do it"... I'm saying... seems that other considerations should rule... your marriage, your happiness (hell, even HIS happiness! LOL).