This is my 2 cents being a past R8 owner and a current PRS 408 owner. A PRS doesn't do a LP tone. Some come close, probably a SC or McCarty with 57/08 pickups is the closest. BUT at the end of the day a PRS does not sound like a Gibson. Much in the same way a Fender doesn't sound like a Gibson. PRS is a completely different tone. Some say better, some say worse...but different.
In my honest opinion if you want a guitar that sounds like a Les Paul....Buy a Les Paul! If you want something that does a little bit Gibson, a little bit Fender, all while being it's own thing...get a PRS! I love mine.
I have a les paul plus some PRS made guitars. They all sound different. But I must say, the PRS are more comfortable, no matter which one I pick! But as some have said, some don't like the PRS tone. I personally love it. It's why I have 3 and only one LP
I would say a 408. You do mention that you want 24 frets (which is pretty much knocking the neck pup out of anything close to LP sound), but you also mention a custom 22 in your list. confused. Anyway, a 22 fret model (which the 408 is) will help get you close.
You wont get an exact sound, but with enough dirt through the amp, you'd probably not notice the differences.
The new sc245 or stripped 58 sounds like a les paul but plays way way better. Stoptail instead of wraparound too.
The original sc245 was weight relieved and sounds closer to like a chambered gibson LP, ie, not like a les paul.
Most of the 24.5 PRS get reasonably close to right on the money LP tones if you give it half a try.
I had a stripped 58 PRS. I thought it close to a LP sound. Then I got an R9 and now have the LP sound. I have a PRS and have had as many as 4. All great guitars with exceptional playability, etc. But I gave up trying to get the LP sound from them. They don't do it 100% and they don't try to.
Just bought a PRS SE Bernie Marsden from Tom Lees in Hong Kong for $533AUD (well, the local equivalent) - I am embarrassed to admit that this guitar sounds to me pretty much on par with my Historic Makeovers rebuilt Custom Shop Les Pauls - God, the money I could have saved ..........