Deal with this correctly now and you'll be thankful for years. Not the time to cut corners. First, make sure you have some time off from work to deal with this over the couple of days. Second, look online for the closest place to rent a COMMERCIAL grade dehumidifier. Do NOT waste time, you'll need this unit working for the next few days and arrange to pick-it up later tonight. Next, get a friend, wife or neighbor and start cutting up that rug. Despite what anyone tells you, if you have had a considerable amount of water leak it will not dry from under that rug and it will mold. Next inspect the walls and moulding and see if they need to be repaired. Hopefully the carpet absorbed all of the excess water and it didn't get up into the woodwork. In a few months when this is over and you have new rugs installed you'll be happy again.

Edit: My suggestions would be different if this was a basement without pinball machines and if you didn't use for entertaining friends. You really don't want friends down there enjoying your hobby and then going home wondering how you could stand to play in such a bad smelling basement.