By those standards there's hardly any ice left to be melted anyway.
NOTE: the Ice Lobe covering the Lower Midwest penetrated into a still Temperate climatological zone. The ice there melted rapidly even during the height of the glaciation in North America. Ice continued to flow South to that area and was always melting. You could hunt Mastadons at the foot of a two mile high glacier, and while dining, be eaten leisurly by a local sabre toothed tiger!
That, and the expanding red giant star are good reasons to have out-of-town plans for that weekend... week... era... whatever.
/johnny