Comparing the drop top to a LP is a little strange; two very different beasts. Playability is going to be very subjective, I would think, so probably shouldn't be a big factor until you get used to the feel of a non-S-type guitar, IMHO.
I'm not a finesse player so many guitars people might consider to have great "playability" are not very good for me. That is, I'm not a shredder who needs the Ferrari of guitars to do what I need to do. I'm a musician who likes to create music.
Thankfully I'm not a stickler for a specific set-up, as I feel the nuances of different guitars are the primary reason I love the instrument. I like the variance in tone/feel so to me, that's a bonus. I guess what I'm trying to say is it might be good to embrace the difference and see what comes out of your fingers.
My LP has a fat neck and I don't have very big hands but I like what I play with it. When I play my telecaster with a V-style neck and single coils, I play very differently because that's how the guitar works for me. Still, I love them both. Then I go to my Ibanez RGs and everything gets turned upside down! Fast necks? What the heck?!?!
Anyway, if you want something to hang on your wall, any pretty/expensive LP will do. If you want a player, well, you'll probably need to get your hands dirty and plug a few in. I wasn't even considering the one I bought until my girlfriend told be to try it because it "looked pretty." I was in the market for an SG Standard Historic Reissue of some sort and the one I almost walked out with sounded absolutely terrible and felt just as bad to me. I plugged the "pretty but I wouldn't be caught dead with it" LP in and it sounded like a beast. Scratch and dent sale, too, so, yeah, I'm obviously not concerned with looks/status over playability/tone.
The punchline to this whole thing: It was a wine red LP studio with belt buckle scratches on the back. Oh well, saved me over $1000.
I would consider what you hope to accomplish by getting a LP-style guitar and go from there. If it's tone, you may not need to spend as much as you think. If it's status, that's a can of worms. Good luck!