I've always been a fan of Gibsons but the Les Paul always seemed to weigh too much. (not sure if the model you mention is the same thing)
That's probably why I ended up with an L6S... nice and light.
Plus..24 frets which is mandatory and the control knobs easy to access but not directly below the pickups where you can accidentally smash your fingers.
Other questions that usually come up..
How good is the bridge for palm muting? Is it going to take several years to break it in and wear down the frets or are you better off with an older model thats been broken in.
Last but not least..does it look kewl when you're playing it.
Another reason I never bought a Les Paul.. it reminds me of something my grandfather would play while dressed in a 3 piece suit.
What pickups are in it and are they going to need replacing? (first thing I did with the L6S was replace the pickups with the best I could get.
Check for scratches. You can really haggle the price down if there's a couple of nicks in it (that somehow accidentally got there when nobody was looking)
How does the neck size feel with your hands. When you go to hit an A chord, does your left hand automatically find it's place or do you find yourself missing the chord. Not a huge problem but it means re-learning a lot of automatic, subconcious runs and licks.
Play the crap out of it and see how well it holds it's tuning. Make sure they have new strings on it before you'll even consider buying it.
Last but not least, are you going to have enough money left over for accessories and a decent amp. You're also going to need a strap, picks, extra strings, a winder, tuner, cleaner, case..etc etc..
You'll need a really nice amp if you want to get the best out of the guitar in live situations. Figure on spending in the thousands instead of hundreds. Plus you'll need decent cables (my main guitar cable was about $100 and the RCA cables for audio were $250 and yeah, it makes a big difference)
Keep in mind you'll also need effects units at some point. Compression, overdrive, chorus, wah etc...plus if you do recording you'll need to find a way to ground your power supply so you don't get any 60 cycle hum or noise from your computer monitor. (a constant problem)