RE: Not sure what to do
I don't think the crome clad rims will be as big of a problem as some folks think. My wifes 2006 Jeep Commander came with chrome clad alum rims and that is driven all year round and even spent most nights parked outside in the winters here in Northern Illinois and they look great when cleaned up, without a whole lot of work either.
I have the luxury of another truck for winter but I've still driven the Challenger in some snow, just not the deep stuff where the front spoiler would act as a plow. The stock all seasons on the factory 20's did a decent job but if I needed to absolutely depend on this car for all driving, I'd get a scond set of rims and mount some Blizzak snow tires on them for winter use.