What is the cheapest way to heat a home in Ohio?
Hot Water heat
If you already have a forced air system, the heat-pump is not going to change the way you heat your home, it will seamlessly heat your home you just won't be using your main furnace until the heat-pump loses it's efficiency in the 20 degree f range. When it reaches that point you switch to the furnace.
Walking there would be the cheapest way although that's only feasible if you live close by so you could hitch a ride with someone who was going to Orlando anyway & offer to chip in for gas. Naturally you'd have to find a way home & a place to stay while you were there assuming you were staying longer than a day.