@yikespa - The answer would also be no in my house. I would never have needed my daughter to prove to me she was responsible prior to going to college by taking an unchaperoned trip when she was 17! I already KNOW she is responsible. But that doesn’t mean I would let her go off on this little adventure. As pretty much every other poster has said, there are just too many opportunities for something to go wrong.
Whose cabin is this anyway? If you are renting, I would be very suspicious of someone willing to rent to a group of 17/18 year olds. Who is putting down the deposit? Another parent or a kid? I certainly would not want to be that person.
But to answer your direct question, the only way I possibly could see it working is for your mom to tag along, which you mention you are not opposed to. You mention that she knows the other parents. Could she possibly drum up interest in doing a mom’s getaway weekend that same time? They could stay with you or in a nearby cabin and be able to check up on you from time to time. Or, instead of a mom’s weekend, maybe your family could make a little trip out of it. This way, god forbid anything horrible happens, there would be a parent close by.