For a strong, solid tone, you will need heavy strings. Epiphone LP's are usually fairly decent guitars, so if it doesn't sound good, it may not be set up properly. The string buzz you mention suggests that it needs some attention from a good tech. Have it set up properly witha set of D'Addario EJ21 strings (.012" - .052") and set your amp with the bass at about 4, the mid at 7, and the treble at 5. You may want to move the settings around a bit from there, but remember that too much low end will muddy your sound, and too much treble will sound harsh compared to the brass section.

Good luck, and enjoy! :)