Laura,
Why do you want to have the book published? It sounds as though JoNa might be acceptable if all you want is your name on a publishing contract, given Victoria's comments about complaints she has recieved. If you just want a copy of your own book so you can see your name on it, a reputable POD or even a disreputable one like PublishAmerica can provide that. But if you want am audience of any size to actually read your book, hope to see copies of it in bookstores, aspire to launch a writing career, or wish to write to make money, you'll need a good, reputable publisher.
A bad publisher can indeed be worse than not publishing. For one thing, not publishing is free. A book that is in the hands of a "publisher" that isn't actually doing anything good with it is a book that you can't sell to a real publisher. So you're set back until he can write another sellable book. If your husband is serious about being a serious author, he shouldn't waste time with bad publishers just to get a book any more than someone who is hungry should eat Ex-lax pills just to have something to put in his mouth.
Stay strong and hold out for a better offer.