Your Harbeth's make everything sound good, so I'd look for a cartridge that was more dynamic with excellent detail. The Miyajima Shilabe would be a hopping dynamic cartridge that should be great with rock and jazz albums. It also has a potent bass sound. Lists about $2750 or so. Could get it for well under $2000 if you go used or they have a good sale on. It's the kind of cartridge that keeps your feet moving. It tracks about 3.2 but supposedly doesn't add more wear to records than ones that track at much less than that.
Bob