My bad! I re-read your post and you didn't say anything about wanting to bend it ! So, just straight up and down by the wall, then? I think the cattle panel would be ideal for that application -- they don't rust, so it would definitely be better looking that something like the remesh, especially since you want to grow melons on it. I do think you would want to have it spaced a few inches away from the brick, though, for air circulation and to give the vines a little room. You might need to kind of keep an eye on the melons as they start growing, though, so they don't get pinned in between the wall and the trellis, or within the trellis itself; I had one squash get stuck in mine last year that I didn't notice until it was already too big, and ended up having to remove it in pieces). The cattle panels are sturdy enough that I don't think you'd need a frame for it; I would anchor it to the ground in some way, though; maybe just by pounding a couple of short posts or ground anchors near the corners and fastening it to them.