I have all the sets you are looking at in different guitars (including an anniversary set). I haven't anything more powerful than Emeralds in my LP's, but I do have Abraxas's in a Hamer Sunburst and a PRS Singlecut. In my LP's I have the following:
53 Goldtop to 58 Sunburst Conversion - Black Dogs - great tones and if you are a Jimmy Page fan then this is the sound of Rock n Roll. This guitar is the lightest LP I have though. I tried Abraxas's in it and they really didn't work as well as I expected. However they work really well in my heavier Hamer & PRS.
Fake 59 LP - this was built by a UK Luthier and has a really nice sustain. It's had an Emerald/Mule set, followed by a Riff Raff/Stormy Monday set and currently has the 10th Anniversary set. It's a great LP tone, and I have to say that I know why Tim loves this set. They have nice aggression on the bridge but can drop off to such a sweet tone on the neck.
86 Goldtop - PG Blues set - Peter Green until you turn up the gain and then Gary Moore steps up! I really like this set for 60's rock and blues, though it doesn't have the aggression of the anniversaries (I would think that Gary would have loved the anniversaries).
Custom built LP Custom - this has an all mahogany body and has a set of Emeralds, which to me are like more powerful Black Dogs with tons of harmonics. Listen to this
http://www.youtube.com/watch?v=JKyzfh3nOaU - Gary Moore has an anniversary tone and Brian Robertson has the Emeralds.
Feline Anniversary Lion - custom Mule set - this is the rock sound, but the pickups aren't available anymore - though Tim's Riff Raff/Mule set will sound really similar, and possibly the same depending on the guitar (though I have to say that the Lion is a tough one to top for feel and looks and acoustic tone!).
70 LP Custom, BK rewound Pat # PAF bridge (AV Long rough cast magnet) and Patent # neck. I love the sound of this, but a lot of it is in the wood and the guitar - the closest sound would be something like a Riff Raff set I think.
Hope this helps (but it probably will just confuse more!).