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it gets pretty wet and sloppy by afternoon with the heater running,
I found that if you put the heater right on the ice/snow it would get the floor soupy quick, but putting it up on something helped dramatically. FWIW, before I realized how much I enjoy having no floor I was going to buy these: http://www.sears.com/wilmar-diamond-shape-anti-fatigue-mats/p-00918471000P?prdNo=4&blockNo=4&blockType=G4
Put the heater up on a milk crate. then the air below it won't get sucked up into the convection loop. the ice stays frozen bur you feet get colder.