Dry them. Wet mushies will stay good up too a week in the fridge. Make sure you put them in a brown paper bag, light leaks break down the active chemicals in the mushrooms..
would a plastic baggie twisted good but not knoted in a brown paper bag be ok without the frig for a while? and how would you dry it
edit: if you put them in a closed bag or closed container with those bags of desiccant(the little bags that absorbs moisture) would that be a way to dry them
Fresh: Consume within a week. Keep them in a brown back to avoid light. And the brown bag absorbs moisture. Leave them out with a fan blowing on them. They'll dry in a few days. Or use desicant. It'll dry them out much faster, but do NOT allow the mushrooms to touch it.