kevemaher OP
My concern is that you could spend a decent amount of money chasing something that does not exist.
"I use a 31 band EQ (yeah, I know, evil stuff). I can drop the treble and bump up the lower mid. I want a cartridge that does that adjustment for me."
My guess is that you have that Equalizer in a tape loop, so that you can use it or bypass it. I also bet if flat, you do not hear any degradation. Therefor you have given yourself a precisely advanced tone control, seems to be a darn good idea for you in this situation. That's Angelic, not Evil. IOW, good idea!!!!
Once you have the EQ adjusted, it sounds good on all LPs, correct? If so, DONE.
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"Perhaps I will never find that cartridge with the seemingly elusive qualities that I desire. I'm not ready to accept that yet."
I might be wrong, my take: Elusive is a good word, I cannot imagine a designer of any audio device purposely creating a product with a rise and dip as you describe. That would be considered a 'failure', and off to 'fix those problems' would occur.
The differences between cartridges I hear are extension of range, which you do not want (except your equalizer can cut the extended highs); and tight center balance, a highly desirable feature; and wide channel separation which, combined with tight center balance improves Imaging.
For me, a stiffer cantilever produces extended bass, or bass of greater volume to match adjacent frequencies volumes. The problem, especially for you, is that stiffer cantilever material also maintains volumes at each end and extends highs, not so good for you.
My guess for you, as a category, is Elliptical on Aluminum Cantilever. My favorite is Shure M97xe. Possibly combined with a bit of adjustment of your Equalizer.
https://phono-cartridge-reviews.co.uk/reviews/shure-m97xe/
This seller is in CA, takes returns, perhaps have a discussion first, then try it.