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It would be helpful to know where your family is in the East. Ohio might be a good option unless it is too far west, if so than maybe Pennsylvania? Illinois? Missouri? All depends on how far you're willing to go.
Tennessee is still very Southern and snow is hit or miss, same with Kentucky. Maryland can be hit or miss with snow as well and is VERY expensive. While Michigan gets a lot of snow, it is certainly the warmest Great Lakes state so you shouldn't have a problem replicating winter temps, the snow is the tough part. I would take a hard look at Ohio, it is probably the closest thing your going to get to Michigan.
Cincinnati or Columbus would be really good for you, or somewhere in between.... there's options for a lot of different types of lifestyles in Western/Southern Ohio... College towns (Miami U.), smaller cities (Dayton, Piqua), larger city or suburbs (Cincy or Columbus), rivers/lakes. Cincy is not flat, it has some nice hills.
You aren't likely to get 20-30" of snow in TN. 5-10 inches is more typical - spread out between 3-4 snows and a handful of dustings. The exception being the mountainous parts of upper ET. The rest of the mountains are national parks/forests.
I think you can be assured that anywhere with regular snows will not have alligators. Fire ants have made their way to TN :-( but hopefully this cold spell will knock them back.
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