3" large gauge(.25 wall). And Egon is right, that roller isn't going to do much to the gophers. The overall compaction that it will create is not going to really effect them digging. It will lower the mounds a bit, but I don't think it will press them back completely. As you know all the dirt in a mound came from several feet of tunnel that is not all under the mound so there is no place for the dirt from the mound to be pressed back into. It will also kill any grass that is currently under the mound.
For gophers I use road flares and a garden hose. I use a little bit of water from the hose to wash open the hole and access the tunnel. I cut a chunk of roadflare with a hacksaw or sawsall(about 2 1/2" or 5 minutes worth), light it and drop it down the hole. I then backfill the hole to keep the dense heavy sulphur smoke in the hole/tunnel. I come back later with the hose and wash as much of the dirt from the mound back into the hole as I can untill the dirt is all back in the ground or the hole won't take anymore. Any leftover, I spread around in the grass. The grass that was around the hole and covered in dirt quickly springs back to life and covers over the small hole. I have also used propane gas injected into the tunnels which works pretty well. Both methods cost about the same, about 50 cents per application. My property is basically all woodlands so it will be a never ending struggle.
Good Luck in yours.