With the Transmogrifier, a Pro Perk, you can move maps between games. With the Character Vault, a Plus and Pro perk, you can assign any graphic as a default token for a character, then move the character between games (this is a bit of a hack, but lets you move it over without needing to download the image and put it in your user library). You lose the dynamic lighting and tokens and other setup of the map this way, and just end up with the graphic for the actual map.