Welcome Monnie and Larry:
You are in a good area to build green; as they would say in Miami, "You live in the woods". You also live close to the Cannelton Tile company, which (I think) makes floor tile too.
To make a feasible heated floor you could use PEX tubing, either in concrete or fastened to the bottom of the subfloor (Google radiant floor heat for lots of info) and heat the water with an outdoor, wood burning furnace. There should be plenty of free wood for the gathering and you would never have to pay a heating bill (especially since the ice storm).
As far as back-up, if the furnace is located down-hill from the house it would even circulate some water wthout a pump. A pump would take only about 700 watts to circulate the water and I recommend that you install a fixed generator unit that will run on LP or Natural gas (once you get it hooked up, the power can be off for a long time and you'll be sitting pretty). I am installing a 10 KW unit at my house which will power my Geo-Thermal heat pump and some other things.