I don't own a nest, but do have the entry Honeywell wi-fi tstat wired to my oil furnace. Even if you forget the wifi feature, it is a dream to be able to program the thing on a PC where you can see clearly all of the programming cycles at once. I live by myself and am not always at home on a regular schedule, so it saved me hundreds of $$ there is no doubt. Staying an extra night at the ski resort, no problem, whip out the phone and keep the temp at 50 back at home.
I just got my pellet stove and have been debating hooking it up to the wifi stat or buying another one. I've not see one for $60, at that price point I might just bite. I kinda like the oil furnace being on wifi as a backup in case the stove runs out of pellets or has some other problem. I have yet to do the research, but I'm sure for <$50 there is some wifi widget that has a set of dry contacts that would let me turn on or off the stove. If you are looking for monitoring only, you can buy a wifi thermometer in this price range as well.
Being a self professed geek, I have put on my list of things I would like to do some day to set up my own controller. Google "rasberry pie", that would be the hardware platform. I would take the hi-med-low switch out of my quadra fire and let the controller set the speed depending on things like internal actual vs set temp and outdoor temp. One of the pet peeves with my honeywell wifi tstat is it only allows for 4 programs per day. That's total BS with todays technology, they should offer 6 or 8 minimum.
I have played with the nest and is has a really nice feel and very cool GUI, but I would never pay $250, I just too damn cheap to pay that much for 'cool'.