Originally Posted by CliftonGK1

Did you explain it to the mechanics like this? Did any of the 3 of them consider pulling out a dish stick and checking your rear wheel?
If you're rubbing the frame on only one side, then there's two ways the tire got way over there:
1) Misaligned in the dropouts. Since the Trek 5200 has (IIRC) vertical drops, this is highly unlikely.
2) Poorly dished wheel. Yeah, I'd check the alignment in the drops first... but I'm betting there's a dishing problem.

I suppose 3) could be that you're just such a beast that you flex your frame so hard the tire rubs, but I'd be more willing to go that route if you were on vintage steel, not OCLV carbon.