I would still suggest that you post a detailed case study. There's a lot of generalized suggestions, but upon seeing the details and the numbers, there would be some much more detailed suggestions and action steps you could take. Sounds like you're working with low-income and are working hard to minimize expenses, so you're heading in the right direction. Specifics could help give you the edge you need to get on top of the situation and start making some significant progress.
But for general suggestions, I'd say do what you can to lose the commute. Is the commuter car paid off, or is there a loan against it? Does it get super-excellent gas mileage? I'd start focusing on that. Compare what you could get for your house if you sold it and what you could buy within a couple of miles of husband's job. Analyze those numbers with what is getting thrown away on the commute right now.
I would definitely say that private school should be reconsidered. How much are you spending monthly on that? Are all 4 kids attending? How are the public schools? If they're safe, just on the low-achievement side, I would consider that for a while. You can easily supplement the education side of things at home yourself. If the schools are flat-out not safe, I would consider homeschooling the kids. It can be done for cheap or free (most states have online charter school options that are free and provide lots of benefits you might like). How are the kids getting to school (I think you said no buses come out there)? Are you all riding bikes to drop them off, or are they being driven by someone? I would definitely look at the total costs involved in the private school option, and consider public or homeschool, at least for the next year, until your finances are back on the right track.
You husband is in a shaky industry, I think you said, and not making a huge salary, plus commuting a long way on top of that. Have you guys talked about other career options for him? What is his job, and what skills does he have that can be applied towards something else? What sort of jobs and careers does he enjoy? What's the hot industry in your region right now? With 4 kids and a desire for public school, I would DEFINITELY say that husband's income needs to go higher. Start considering ways to achieve that.
How old are the kids? If you're husband isn't available to watch them in the evenings, you'll be looking at off-hours childcare for 4 children while you dance. That will not be cheap.
All that said, if you WANT to return to dancing, then that is you and your husband's decision. There will be consequences in social circles and to your reputation. I wouldn't be at all surprised if the private school admins would highly frown on the situation, should they find out (and my guess is, they'll find out, LOL). You need to accept those consequences if you go back down that road.
If you truly DON'T WANT to return to dancing, but are feeling financially trapped, then FIND ANOTHER WAY. There is always another way. The folks here can help you find that way, if that's what you want.
Either way, I do wish you the best of luck!
MouseBandit