Trane has a thermostat that will turn off if the doors are open.

I have a Bryant furnace roughly 40 yrs old, still working but sometimes it does not stop thru the thermostat control.

The thermostat is toward the rear of the apartment and the current baseboard heaters are near the front. 

@Alyssa Czopor I use the following to self manage remotely: keyless entry, wifi thermostat, ring flood camera, iPhone, Airbnb/Vrbo, Beyond Pricing (dynamic pricing), Your Porter for automated guest communication.

They asked me to install new thermostat as part of move in and I agreed and paid.

Sometimes I'll get an attorney and they want a contract so I put together a one page document with the relevant facts and they are happy.For everyone else I use email to confirm the details.I still have my STR insurance policy.I also have control of the thermostats and water heater via wifi.

You might look into something like a thermostat plastic cover/lock option, but again if they want to reset the wifi box that bad, they probably know how to YouTube lock picking and can easily open up a basic lock box type lock.A lot of the wifi systems these days allow a mesh type network to allow for more coverage.  

Put in nicer appliances, some modern tech tools such as smart detectors and thermostats.

The thermostat for the entire house is in my apartment and I make sure to seal up all windows and doors before turning the heat on.

Thinking of things like keypad door entry, thermostats, fire detectors, water leak alarms...