What is the water temp now? Does it ever constantly stay below 60 degrees? Looks like your average daily temperature is below 60 for only December and January. Our closing recommendation is to close when the water is firmly below 60 degrees. Your pool may never be that...
If you do close, I would strongly suggest using a cover and algaecide.
If you partially close with no drain and circulate only to test and prevent freezes, I'd use a cover as well. Either way, you want to prevent chlorine losses and prevent algae growth to save yourself the headache of a spring swamp. If you partially close with a cover, it won't be very expensive to maintain FC, likely checking about every week and circulating to do so.
Keep in mind, even though you might get a freezing temperature overnight or for a day or so, it will take quite some time for water to actually freeze solid and cause damage. The most vulnerable locations for freeze damage in your situation would be your plumbing lines and pump area. Wherever you have a lower volume of local water (narrow areas versus the pool itself).