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In many cases you can keep your car *without* reaffirming it so long as you continue to make the payments. Have you checked into this? If this is an option, I would keep the car you have for another 5-6 months as you start your rebuild and get your scores up. Buy another car when you qualify for a good interest rate. Then stop paying on your current car and tell them to come get it. It would already have been included in your bankruptcy, so no harm no foul to you.
If that isn't an option, pay CASH for a car to last you a year while you rebuild. A couple grand will do the trick.
Do not rush back out and get another crappy car loan after discharge that you will be underwater on. BK is a fresh start. Don't run right back in!
I thought spouses without incomes could still claims "household" income, regardless of if the loan is single or joint. But I haven't had to deal with that directly, so could be wrong.