As previously mentioned, some professional lift bags will make this job much easier. One in the cabin and one each lifting the bow and stern. They are quite expensive to buy but maybe a commercial diver or supply will rent them to you. Good luck doing it with air mattresses. I have seen divers do it on the cheap with 55-gallon poly drums however. Once the boat is on the surface, a couple rented trash pumps (Home Depot etc.) will get dewatering done in a hurry.
All that being said, this is really a job best left to professionals.