Before I had a dedicated space for a design wall, I'd use blue tape to tape a batting to the wall; if I needed to take it down while I was still using it I'd pin a sheet over all the blocks and then roll it off of the wall and tuck it away. The sheet helps keep the pieces from sticking to the back of the batting or falling off as you unroll. Unroll the whole thing and secure it to the wall again, then unpin the sheet and carefully peel it back.
Works pretty good. Not fantastic, but pretty good. I usually needed DH's help to get it taped up to the wall, someone has to hold it up while all the tape is being applied. Thumbtacks would have been much easier but I was using a very visible wall so I didn't want to fill it with holes!