You can hang drywall on the blocks with Contech PL 400 (a construction adhesive). I know, I recommend that brand a lot but I had super experience with it. We built over 1,000 houses that had to be hauled down the road to their site and never had a failure with that adhesive.
You can run a bead of the adhesive just inside the edges of the drywall, make an EKG like pattern in the field, push the drywall in place against the adhesive, immediately pull it back a few inches, allow a couple of minutes for the adhesive to 'flash off' and push the panel back in place making sure you press on all the area to make a good bond. That's it, no fasteners needed. You could try it on one sheet for verification, then go for it.