You can do a chicago grid which essentially is a thicker gauge grid ceiling similar to a drop acoustical tiled grid and you can fasten your drywall to that. I've done it plenty of times in basements and commercial jobs. After you frame your walls just screw your angle to the studs and hang your mains from the joists. Any drywall supply house carries the system. It's much faster and accurate than furring down the ceiling with framing lumber