I can play the Les Paul forever with no issue. It's just hard to do acoustic-style blues with the LP. Strings are too light, I think. And it just doesn't sound right. I'm using .009 strings.
The Guild D-40 (Dreadnaught shape) has a nearly perfect neck, but medium gauge bronze strings. Trust me, its easier to play with the capo on the 2nd fret.
I've found that a thumb pick and a single finger pick gives the best combination of style and speed playing Hot Tuna-esque acoustic blues. I find less is more when finger picking. And it's harder on the Les Paul than the Guild (with or without the capo).
I haven't mastered the flat pick plus finger pick yet. I can't get the sharp pull with the flat pick I can with a thumb pick. More practice I guess.