Platinum Supporting Member
I didn't mention it earlier, but when I was looking for a Les Paul the 1st time (about 6 years ago) I got a PRS DGT instead. I still love that guitar, but the Les Paul I ended up with has eclipsed it.They're not for me, either. I have owned a bunch of different ones at various times over the last 30 years. I sold the last one about 18 months ago, and honestly haven't missed it.
If you're looking for something else to try, may I humbly suggest a PRS 408 Maple Top. Just try it out. If you don't like the "bling" of a flame-top PRS, they can also be had in black, white, or goldtop. Since you like "not-so-thick" necks, see if you can find one with the "Pattern Thin" neck carve.
Having said that, PRS has a lot of nice offerings in the "I want a Les Paul but I don't like Les Pauls" mold. I haven't tried a 408, but I did look at a McCarty when I bought the DGT, and it was a nice instrument as well. Ultimately, I really wanted a Les Paul. For someone who wants that same basic tone and vibe, but doesn't like the way a Les Paul feels or plays, PRS has a lot of good options. Great suggestion.