For a trap like that, you need a 1-1/4" thread at the wall. The nut barely clears the wall, and then the escutcheon covers that.
It's time to open the wall if you want exposed plumbing that looks nice. Anytime somebody asks me about exposed plumbing, it's time to think about redoing the pipes in the wall to make sure they look good on the outside.
The bottle trap, since it has no swivel, has to be dead on centered with the lav drain.