With that description, you could be looking at virtually anything from the vintage and vintage hot sections of the BK catalogue. All of them have nice cleans and all of them can handle high gain. I have a VHII in the bridge of a Strat, and it's by far the nicest sounding bridge humbucker clean tone I've ever had. It can still kick the amp surprisingly hard, and sounds great with any amount of gain. The VHII splits extremely well, because of the asymmetric wind.
If you're a Jag player, I'm guessing you're into the slightly alternative side of things, and the VHII might be a bit too polite for you (it's a very musical, almost sweet-sounding pickup). I'm guessing you'll want something a bit dirty.
I haven't ever played a Jag, so I'm not sure what they sound like unplugged, or how the short scale affects the tone. So I'll give my vote for VHII, but with that warning.