I have a couple of Les Paul Traditionals. I think they are the best value Les Pauls out there, at least until the new 2013's came out, now they've jumped in price. It's true, I really hate the stock 57 classics in those. A lot of people like them, but I think they are only good for blues or very light rock. Once you start adding gain they sound terrible.
Anyway, I haven't tried the lower output BKPs, but I do have the Cold Sweat bridge in one of my Traditionals and it sits absolutely perfect in that guitar. In my other Traditional, it was on the bright side, but in this one, it was a darker guitar and it sounded perfect. It's a good mixture of old school hard rock/metal, and newer metal. I think the tone it really nails is early 80's Scorpions, like Blackout, but it's pretty versatile in that realm when you lower or higher the gain.
My other Traditional now has the Dimarzio Super Distortion/PAF Pro combo, and I think it will stay there, it just sounds right (and looks right in double creams) on my desert burst! I had been thinking about trying the Black Dogs, but I've learned from experience I don't really like too low output/saturation for what I do. For me I like around 13-14k range of DC resistance, it sits in the right place of not being too cold or hot and stays very versatile.