Hi and welcome!
For what you seem to want (less mud, less bass, punchy, not trebly, brighten things up a bit) my initial response is the Rebel Yell. Bass is very nice and punchy, tight and organic. It delivers all you need (it does not sound thin), but it is not the focus point of the PU. That is in the higher mids, where this one has an amazing rock scream. Go higher and you get a lot of harmonic overtones and cut, without being shrill or trebly. Harmonics all over the place let this breathe life in guitars, it really wakes em up. While it is a modern PU it is all the old goodness. I seem to have coined the description "modern take on a classic sound" and also described it as "All the modern advantages, all the old school heart. Classic sound, faithfully brought to modern times."
You get less bass, more cut, punchy bass, not thin or trebly, lots of nice harmonics and new life all in the form a very versatile PU. If you manage to have this mud up I dare say the problem really lies elsewhere.