I'm actually going to try just making a new connecting ring entirely [perhaps even in C4D and then importing it into Bryce] that will be more nacelle-strut-like than what I have now.
Thanks a lot for the feedback, and rotating the engines is an excellent idea. After I get the ring settled I'll make a final decision about the intersections with both the saucer and the engines. The current torus is just a placeholder to show the arrangement.
I've pondered a Miranda
-style squared saucer, might that be a stronger place to anchor the ring?