Again, many thanks to all. I may have this narrowed down a bit more.
CPU: Actually, my CPU was higher than I thought. Using Windows Task Manager, it was more into the 50-60% range.
MULTI-CPU: One of the tips I read for reducing latency was to disable the Multiprocessing Engine (which is counterintuitive). I reenabled it, though doing so had only a slightly positive effect.
ASIO: Using the ASIO driver that Lexington provides for the Omega interface. I have not tried ASIO4ALL (any thoughts about its viability over Lexignton's).
AMP: While experimenting, I clicked the power switch icon on just the amp in the TH2 Producer stack and all the other tracks cleaned-up 90%. Adding a distortion pedal did not make things worse. I get similar results when bypassing the amp in the Pevey Revalver stack. So it appears the amp modeling is the primary suspect, though it is unclear to why. The CPU load doesn't change much with them on or off. Are they inducing some degree of latency that causes the equivalent of clipping on the other channels? Is exporting audio (preliminary mix down) a good test for this?