Here's how I look at it...
1. Speak to a landlord tenant attorney. Everything is going to depend on the law in your area. In NY courts are closed and you can't really evict anyone. How long will it take you to evict them legally? It can't be less than 2 months; Trump ordered no evictions till at least 1/1/21 How much longer till a court can grant your eviction and order the sheriff to remove the tenant?
2. Now do a cost-benefit analysis. How much do you have in security? If your tenant owes you $1800 a month in rent but they stop paying and can't be forced to move, you will be out Nov rent, Dec rent, Jan rent at the minimum which is $5400. Plus the cost of an attorney, PLUS the cost of whatever damage they will inflict. I'd wager something to the tune of $10,000 is what you would lose. That's just the money side. Now to make it worse...
It's fair to assume a housing court judge will not want to evict anyone in winter. However, you as the owner have an obligation to make sure heat/hot water is working but all the while they can break things and making formal complaints about the condition of the home that will be documented against you.
Unfortunately you will likely have to eat some sh*t pie and let them leave. Play it nice but make sure that you tell them to leave the property in good condition for them to get their security back. To be honest, they sound like tenants you wouldn't want to keep anyway. With some minor refreshing you can get it re-rented and you'd lose less and have less headache than fighting the current tenant. Welcome to the REAL experience of being a landlord!
P.S. Don't let the pipes freeze!