That's why I went for my Gibson Sonex back in the 80s - it was clearly an attempt to get the best of both worlds, effectively a Les Paul crossed with a Telecaster. Two pairs of humbuckers, but with a coil tap switch to get that trebly single coil sound when you want it. Schaller machines that stay in tune through anything you like, and the whole thing is built like a brick shithouse - very heavy (in the actual weight sense!), so it's hard work on the shoulders, but it sustains like a bitch. I would ideally have liked lower profile frets, but I've got used to the neck after all these years. I love it.
This should really be in the VT Musicians thread.