Ideally we would probably stay in the center village area so we could always just take the shuttle over to the west village.
From center village you have several good green options, a few of which have been mentioned.... take American Flyer up to near the top of Timberline lift, and take Soliloquy down to the Lumberjack and Kokomo lifts. Or stay under Flyer and ski High Point, Easy Feeling, etc.
Or make your way to Rendezvous lift. I love that area myself sometimes, and took a couple of groomer only folks there to get off-piste in some easy powder (just a few inches), plus ski the couple of groomers usually up there. And you can take in the view across Copper Bowl to Tucker mountain, and beyond it the backside of the peaks at Breckenridge.
Coppertone is a long and popular run, but I think it's just OK, as it has some flat and off-camber areas that I don't think are likely to be as much fun, even for a green run skier, compared to some of the other runs. YMMV, as always.