If I was going away for months during winter, I would set my thermostat around 50 or 55 and call it a day. Why would anyone want to access their thermostat while they were away for months? Are you going to tweak it every single day? Just pick a number and stick with it. Will save you a lot of headache.
Yes, there are things that will power cycle your devices. Good if you have security cameras as well.
The OP specifically states the reason for the request, and many of us share a similar need. No one has mentioned “daily tweaking” - except you.
We're planning a month long vacation this winter, and I'm looking for ways to warn us if the furnace goes out