They put the thermostat to its highest and the boiler wouldn't fire and "heat the baseboards".

I'm in the process of closing on a 4-unit with one heating system for all four, controlled by two thermostats.

It connects to the Emerson Sensi thermostat as well.Z Wave radios use far less energy than WiFi which mean battery life is much better.

I have two really grungy (though fully functional) baseboard heat-only thermostats, circa 1980.

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In reality I only change it at the end of a lease if needed, but that tends to keep them from setting the thermostat to 64 degrees in the summer.

. $800 electric bill later I moved thermostat.

I do recommend a cap and you can also have thermostats with upper and lower limits so one person can't set it to 80,  put those limits in the lease. 

For small spaces, you can't get a small enough (in terms of BTU) multi-zone unit and what happens is one unit receives refrigerant even when not running if the other is running, which due to the cold of the evap coil causes it to condensate and ultimately causes constant problems with drainage.Also, look for a mini-split where you can connect an external thermostat and configure the head unit to shut off when the set point is reached.

How many thermostats are there in the house?