If you are not allowed to bring them inside, your best bet would be to wait until Spring to catch them. They can hibernate for longer than that, but under optimal conditions. Where you live, they will be hibernating very soon, and won't be seen again til April or so...that is a long time. They will undoubtedly die if you try to do that outside in a 10 gallon tank. In the wild, they are able to get way down below any chance of freezing.
I would not attemp 4 months of brumation, unless my temps were around 45 F...warmer than that, and they will be using up fat stores and wasting away.
Perhaps others can give more insight. If you have a wc, my best advice would be to release it where you got them. Wait til next year, and collect yourself a nice gravid female. Since you live where the collared do, this should be relatively easy for you.
I'm sure with some effort, you can find some areas closer to home that harbor a nice population of collareds. Are there any lakes or dams nearby? I hear they are well established around most lakes around the riprap areas. Give it a try. I bet you can find the first hatchlings right now!!! You could keep them in a 10 all winter long, and they should do well for you.
John Eddington