I had another thought. In some Asian countries, they'll take people with degrees to teach English. It used to be easy to get a job. Maybe it still is. I hear you can make $2000 a month in China. The qualifications you need are to be a native speaker of English and a college degree. A white face helps. Some training helps you actually be able to do the job. The top certificate, is, or used to be, the CELTA, a Cambridge certificate, for teaching English. Some universities have certificates you can get if you take three classes. The Southern Baptists have, or had, a training program that was good, too, to train their people for community outreaches in the US. There are also online courses. Or you could just start work and figure it out, and hopefully you get a good text book with a teachers guide.
Anyway, basically the idea is like this, you or your husband or both go to China or some other country and teach at an institute. The children are a problem though. Maybe you could find a place that would get a visa for your kids, too, if you both would work for them. They may go for a married couple if they had a bad experience with a single fornicator who liked to drink or something like that in the past. Or maybe you could work with a missions-related agency that sends people out.
If both of you got $2000 a month for teaching 20 hours a week, that would be $4000. Two at $1800 would be $3600. It depends on how old your kids are, though. If your kids are school age, then you'd either have to put them in Chinese school or pay expensive international tuition.
There are also cheaper countries that pay less in the ASEAN region. Lets say you went some place like Indonesia and were able to get $1000 a piece, and pay a live-in baby sitter $200 a month to help with the kids. That's not ideal, but it might help with scheduling. If you were both certified teachers (in a US state primary, middle, or high school system), you could possibly get $4000 or more for both of you, or more, to teach at an English-speaking school in Indonesia, get free tuition for your kids there, and hire a maid so you didn't have to do a lot of housework.
It is typical for these teaching jobs to pay for housing. Often they pay a ticket home every year or so.
You could look at eslcafe.com. If you didn't have kids, it would probably be easy to get a job. With children, it makes the visa situation difficult. But if you shop around, you might find a match if you are interested.
In China, food is probably about half price of the US outside of the big cities in my limited experience. In lots of these countries food is cheap, you'd get your rent paid for.