Since I don't know everything, here are some questions that might help (or not)>
Does your husband suspect that you aren't working hard at getting a job, any job for now so that you can keep the pets?
Does your husband suspect that you aren't calling individual homes for rent to see if they are dog lovers too. It could be convincing if you invited them over to see your home now to note the condition of the carpet and furniture.
Does he think that you don't like any of them, or just some of them, and he loves them all? Does he think that you refuse to give up some expenses that he finds less important than the dogs (like getting your hair or mails done weekly or buying clothes frequently or going to weekly movies or buying ready made meals?
Giving them up is hard for animal lovers. All these things could make him very stubborn about the issue without having to accuse you of these things.
I'd suggest: Get a quick summer job (YMCA summer counselor?), cut out all unnecessary expenses, ask him to help you save money by more grocery shopping and meal prep, cutting his expenses and unnecessary items (Starbucks? Fitness Clubs? Eating out and entertainment, clothing allowance) Bear the burden together.
I presume you both made the decision to adopt. Course, if he just brought the animals home to you, then still do your part but expect a lot more from him. Like getting an extra part time job.
If you can't afford them even when you have a good job, well, that's an issue. The family shouldn't suffer for years because of a bad decision. Show him the budget numbers and ask him for ideas on a long term way to afford the animals. IF he's unwilling to do that, you may need counseling. It can be really cheap through a counselor that goes on a sliding scale. Ask United Way for a referral and if you might quality.
Regarding renting, try a private rental house. If they will consider pets, you might try to convince them that they are good by inviting them to your home to see your carpet and furniture (and how it smells). If it is really good, you could try to either negotiate the pet deposit down or invite him for regular but scheduled checks at the rental house and that he can break the lease if he makes two regularly scheduled checks and you haven't fixed the problem. That shows confidence. Remember that those homes may have been their pride and joy and you should leave it every bit as good or better as when you rented it. They may have to return to live in it or sell it and may not have spare money to fix what you and your pets hurt or destroy. Odors are sooooooooo hard to get out.