I really hate to upset you folks, but is anyone here a lawyer? This is a legal matter that should not be trusted to what non-lawyers think is or is not the law.
Liability doesn't just go away because you have no insurance or money. It is not coverage for the damage to your car. It's for damage to the other people involved in a personal injury accident.
You can and will be sued for your assests. That includes but is not limited to your house, boat, camper, car or anything of value. Whole
life insurance policies, bonds, stocks, retirement savings, pensions.
If you hit me and you have no liability insurance you can bet your boots I'll take everything you own to pay my medical bills even if it puts you and your family on the street. Now that sounds hard but that's what the lawyer I hire is going to do.
I have a college degree and have studied business law and know what liability is.
Talk to a lawyer, if they have homeowners insurance perhaps you can go to them. I don't know but a lawyer can tell you. And buck up and pay for some liability insurance in case you hit me, unless of course you have a really nice house and live in a really nice place, like in the country in NC.