Well, this is a bit embarrassing, but when I went to remove the Kappa's from the cabs I noticed one of them was wired backwards from the other (by me, doh), so between that and the cabs, I'm not surprised it didn't sound so great. I did use a Tech 21 Q-Strip pedal with a set 45Hz HPF, or an Alembic SF-2 Superfilter, but with the speakers being out of phase, was probably a bit moot.
I may have customs cabs made to specs mentioned by Bill here, or maybe go another speaker/cab route entirely.
I tend to play hollow body basses like the Epiphone Jack Casady, Gibson EB-2, and Guild Starfire, fairly aggressively (and loudly) and go for the ' big-and-heavy-but-transparent' 60s/70s classic rock sound - that's why I like the JBL K140s, but hauling 4 of them (150w rms each for 600w rms total) gets a bit tiring and takes up a lot of space, so I'm looking at more modern lightweight high-powered, but still having something of an 'old school' sound, alternatives.
There's an Accugroove 'El Whappo' 15/12/6 cab for sale near me that caught my attention. I hear they handle lows very well and are plenty loud. Bergantino also sounds good but are way pricey brand new. I tried an Orange OBC115 and was totally underwhelmed with it. People have mentioned the 3015 is a good replacement for the stock speaker in those cabs, but they ain't cheap, either.