I've done a several grill cloth replacements - tried hot glue on one - not a good result; staple gun on one - easy but I didn't like the staples. The last few I used brush on contact cement - it's messy but worked well. It holds well and I was able to get the alignment just right. Spray on 3M contact cement may work well but overspray would need be controlled so you only get the edge of the cloth, and the edge of the baffle board - you could do this with a masking jig - maybe made from cardboard.
