Is it possible to do without a pot? I'm willing to sacrifice the quack in two and four for pure serial wiring
You can do it with a three way quite easily:
neck, middle+bridge series, bridge
If you used a standard five way things would get messy, I believe you would get something like:
neck, neck in parallel with bridge and middle in series, middle+bridge series, bridge, bridge
Then there are five way super- and mega-switches. Without spending time working out a wiring I couldn't help you with that immediately. There might be something cunning you can do with a four way, but I would need to think about it again