Hi,
I would suggest you to continue with the application of ice packs and take OTC painkillers. But if the swelling does not subside in a day or two, schedule an appointment with your orthopedician, as you may need to undergo X ray to rule out fracture. Also you may need a splint since immobilization of the injured part is essential. Take care!
wrapping couldn't hurt. take an anti-inflammatory such as ibuprofen as well.