Dillions are great!
I have a tele thinline clone, it was so good out of the box, I have never had to do anything to it. It's a nice axe. I also have a Dillion PRS Hollowbody clone, that I have modified with DiMarzios, Tone Pros studs and adjustable bridge, Grover locking tuners, coil tap electronics. It's fantastic except the DiMarzios are a bit hot.
Bottom line, I think the fancy L.P. clone would probably make you pretty happy.
(Check out the Agiles, too)
Good luck with whatever you decide. Dillions and Agiles are bang for the bux.
GUITARS: Fender Teles and 50s Strat, Squier Jazz Bass & '51, VooDoo clone, Dillion Tele Thinline, G&L Tribute ASAT, Agile Les Paul clones, Rogue 335, Robelli D'Angelico, Danelectro Hodad 12, Larrivee Koa Parlour, Blueridge 00028, Ibanez Hummingbird, Takamine EC132C, PRS McCarty IRW.
AMPLIFICATION: Carvin Bel Air w/ext cab, Behringer ACX1000, Vox Brian May, Fender Bronco tweed, Rogue 30 Bass, Roland Cube 30, modded Epi Valve Junior w/ Scumback 1x10 cab.