I'll be curious to see answers on this too. I haven't found the perfect one yet, but here's what I know:

You might want to check out a ranger bag. The one I just got, the mesh is more coarse than I really like for C&R, but it's ruberized, knotless, and a lot lighter. I'll look up the exact model when I get home. ( http://rangernets.com/specialty-and-replacement-nets/ )

Rubber net is going to be the most fish friendly, but they're HEAVY. It's nice thought because hooks don't tangle.

I've got a Promar bag on a Frabile handle, and I hate it. It's good mesh for a fish to be in, but it gets really tangled if a hook catches at all.