I put the fish in the flotation sling still in the net. I'll remove the hook or cut the line and then slip the net out from under it, lift the fish to the mat in the sling. Weigh, photo and return.
IMO that's the best I can do, certainly better than lifting out in the net if a good fish.
I've also lost a good fish pre-photos whilst retaining in the net, much to my dismay - a cracker to boot, so I deffo prefer the sling after that experience!!!