Just a quick point: Lifts don't stagnate, it's a weak link not progressing. Like others have said, the fact that the crossovers are making you sore is showing that during your presses your tris and delts are doing a disproportionate amount. I'd actually say to pre-exhaust with the crossovers before hitting the presses.(Don't worry about progression in the presses for a few weeks)
This should help your imbalance.