Which Epi LP would you suggest?

[Bookkeeper's Son]

I do not agree that the higher-priced Epiphones have a better build quality. They, and most of their components are made in the same factories (by the same people, with the same assembly methods) as their brethren, whether they be higher-priced or lower. Until recently, almost all LP pickups (except for the cheapest bolt-on models) were the "Alnico Classic" model, same as on most other humbucker-loaded Epi models. Some newer ones have the latest "Alnico Pro" pickups, and some have Gibson USA humbuckers (LP Tribute). This "better build quality" thing is simply conjecture.

Are we to believe that the CNC machines are finer tuned for the more-expensive models?

[Tig***]

No, personal, hands on experience, not "conjecture".
I make statements based on reality that I can stand behind.

YMMV on Epiphones, but the higher end models tend to have a more consistent quality level than the rest of the line, starting about 3 years ago. I've played more than I can count.

[Tone2TheBone]

I really like my '56 Epi Goldtop with P90s. It's my favorite guitar. Great combination of pickup tones and that LP feel and beef.