I joined last year with not as many hours as you, but with a few thousand flying around Europe. I was happy to start as F/o, though you would, I am sure, have no problem operating the aircraft and the routes with your experience, the nature of the operation is a little different form a normal airline.
Some are on upgrade courses before finishing line training.
A private G550 owner might pay you more, with netjets, you know when your days off are, and are not interupted on them which you might be with a private owner, as well as the ability to live whrer you wish. I prefer that to the extra cash myself.