Honeywell also makes a tstat thats connected to the internet and furnace wirelessly and can be controlled with a smartphone app and will text or email you if there's ever a problem. Pricey but has a ton of features.
That might work,,,,,,,,,,,or not.
We had the A/C in the server room on a wireless thermostat. It decided to die around 10pm on New Year's Eve. It called and the guy didn't have his phone on because he was out of town celebrating New Year's Eve. The server room overheated and damaged some of the servers.
Nothing wireless will ever match wired for reliability. I avoid anything that uses a battery if I can find another item to do the same job without the battery.