Both of my Les Pauls are fairly light, with the Studio being really lightweight for a LP. People often talk about how heavy Les Pauls are, and they're heavier usually than Strats sure. But there is a big variance here. And too, balance is a big part of it. Anyone who has gigged with a SG knows what I mean I am sure.
I like the grave case. That's pretty cool. If it supports the guitar properly I'd go with that one. Oh I see you got the black one.
Here are my two Les Pauls. The one on the left is a desertburst Studio Plus. Surprisingly lightweight. My number one. The LP on the right is a Classic in honeyburst. Hot ceramics and noticably heavier than the Studio. Both are top-wrapped. Cases are obviously the stock Gibson USA hardshells.