Don't overlook passive solar heat. I have multiple large windows on the south side of my house, shaded by an overhang in the summer. In the winter, the sun shines on a ceramic tile floor backed by cement board with insulation under it. Call it 2-3 tons of thermal mass. Modern low-E glass cuts solar gain quite a bit, but a sunny day will keep the house warm even in freezing weather. For night or nasty time, we have honeycomb cellular blinds that add about another R-5 to the windows.
A gas log insert will radiate some heat, but the fan has to run to heat more than a few feet in front. A transfer switch and small generator would get you by. If you are going one propane appliance, go with a propane water heater too. I live in a mild climate similar to yours, and a conventional heat pump functions very efficiently. The propane backup would only come on during very cold weather, and the AC is worth the price of admission. Plumb a stub out toward the future patio/deck and you can run your BBQ and gas fire pit from the main tank too.
Your choices will depend on whether you are going to live there long term, or sell it after a few years. If you are thinking short term, don't build options that will just confuse the next owner. If it's going to be your forever home, make it as self-sufficient and stable as possible. If you have watched the last couple of years you have seen the US infrastructure stumble pretty badly. How would living there be if the electricity went out and stayed out for an extended period? How would you do if you had to wait 2 months for a propane delivery? Tornados are one thing, whackos sabotaging power substations and blowing up pipelines are another. Your home is your castle.