Is the drywall nailed or screwed on? I removed a lot of basement drywall that was nailed in place and found the best (not necessarily the fastest, but certainly the cleanest) way to do it was to remove all the nails I could find using a Dasco Pro double ended nail claw bar (Home Depot or Lowes) that was tapped under the nail with a hammer. To find nails buried in compound, I tapped the compound with the edge of the hammer head. This would generally exposed the nail... surprising how easy it was to find the nail pattern that the installer use. If I could get 50% or more of the nails out, the whole piece could generally be removed in big pieces with minimal dust and debris. Once removed, I used a box knife to immediately score and break the piece into smaller pieces for easy disposal.