I live in Wisconsin, and we have a species of the same genus that grows around here. We call them Jack-in-the-Pulpit. The species you got grows a little further east of here, but I've seen them at a greenhouse. A few years ago i tried growing some from the forest near my house in a big planter, but they never did thrive. They were a fickle little plant as i recall.
I love Arisaema, but I'm bad at keeping anything that needs a dormancy. They are related to the titan arum and other Aroids which grow from bulbs like the voodoo lilies. If you are able to keep an Amorphophallus for multiple years through dormancies without rotting the bulb then you should be able to the keep members of the genus Arisaema easily enough.
And in case anyone cares, this is the book to get for Arisaema:
It might be fun to take another crack at them. Problem is that winter is closing in on me here, and I don't know if i'd have any luck with them. The Amazon preview only confused me more... complicated little plants....