Advice Wi-Fi/Thermostat

[RichBeBe]

We had a cheapo Castle Serenity in our old home, and my wife wants to swap out a wood stove for a pellet stove in the new one (Happy Wife/Happy Life).
The stove will be located in the basement and used to take the chill out of the basement most of the time, and sometimes to heat it or supplement the propane.
My question is, and I cannot find the answers, are there any stoves that have a thermostat that shuts off and then refires the stove at set temps?
Example fire at 60F and shut off at 68f,
A wifi app would also be a plus so that she can fire the stove up remotely.
I am open to any suggestions, TIA.

 

[johneh]

Many stoves will start and shut off, then restart as heat is needed
Harman, Envrio, Comfort Built. Dorlet, Iron Works, and others
Most, if not all, new stoves can use a Wi-Fi thermostat.

 

[EbS-P]

A 6 degree offset is quite a bit. Some thermostats allow that to be programmed. My eco bee does but not sure if it allows 6 degrees.