Ah, I see. You're using quite thick strings on your LP which really adds a lot of heft to the sound. Hence, the low end beef.
Painkiller may work well but I have heard a painkiller bridge get dark on a lump of mahogany extended range 7 string guitar. Shouldn't be such a problem on a 6 string.
I'm going to make a totally out there recommendation and you can do what you want with it. What about a Rebel Yell bridge? With an amp as aggressive as the 6505, you should be able to get the punk / hardcore tones you like but you'll get more clarity with an open sounding low end. The heavier strings will provided a substantial amount of heft to the tone and it will take the 'nailbomb' sort of a tone and shift it more into the mids and harmonics. Hey, it's worth a try. I really happen to like the Rebel Yell a lot and it may just work for you!