Thing is, you will sacrifice if you try to hard to make it the 'everything' guitar. I know you understand that you can't but even by trying a little bit to go down that road, you may still have less than satisfactory results. A buzkill for all the hard work.

My thought is to understand what you need. If you are inclined to any hard rock, a humbucking bridge pick up is a must. You can always do a coil tap or EMB 89 type of deal. after that, it gets a little sticky. For me personally, I would lean towards single coils and have a mid and neck position set of singles. I tend to not use the neck pick up on the solid body if it's a humbucker (I do on the hollow body for the woofy, jazzy sound). However, I do use the neck pick up on a solid body with single coils because of it's more bluesy tone.

While you want the guitar to do everything, understand what it is that you will really do.