What are the settings for the Contour and Gradient Overlay?
Actually, I may have figured it out...needed to use Stroke as well.
Seems an odd requirement, but...it worked.
Felt like a kludge, but it was a solution, neh?
If you go to Layers > Layer Style > Create Layers, it will create separate layers of the Outer Bevel Highlight from the Outer Bevel Shadow. If you turn off the eye on all the layers except the Outer Bevel Shadow it will reveal each bevel as a group as a tint and as such will show the red color beneath.
Well, okay the idea was to get rid of the red, not bring it out.
Also, I found the solution.