I ran a fuel comparison calculation using your rates that I like to use for a guide only.
Using your rates, I used 80% efficiency on your furnace and a 2.4 COP which would be typical for 13 SEER heat pump heat. Here are the results. And to emphasize only a guide.
Cost per 100,000 btu of useable heat
Electric baseboard: $2.37
Heat pump: $1.10
Natural gas: $1.21