Wonderful pics! I'm glad there are so many folks getting out, especially this time of year, and enjoying our state and National parks!
You could put a ceramic heater on the closed cook stove lid. Heat resistant surface and up away from the pups too. It may make the furnace run a little less often as well.
When we used the heat pump, we set the fan to on, so when it cycled for heat, it wasn't as annoying/noticeable. We haven't used the gas furnace yet, so I can't speak to that.