Luke,
Seems pretty safe to assume your heat pump is old and or undersized or featured for really cold weather- maybe not.
You cannot stand any combustibles, even though most house size gas units feed and exhaust to outdoor air.
this rules out, nat, kerosene, propane, catalytic, diesel,
You dont want to pull more electric than you are running now cant recall - one or two wall 1500/ 5K BTUheaters?
The math is real, you just dont get a lot of heat from that to cover a severe cold snap.
Do you have a 50 amp dryer plug?
The all season RV guys use a true electric 30/ 50 amp electric heater you can build a box for that really makes heat this not help you now, but you could get an HVAC guy to plumb it into your ductwork or simply set in a corner of a room- you'd be sending between 20 and 40K to your registers.
www.rvcomfortsystems.com