Wiring a 5-way switch when you have anything more complicated than 3 single-coils is a pain in the ass, but if you prioritize five sounds you're actually gonna get some use out of and plan it out well, you basically never have to touch it after.
I like thinking of it like 3 gears - I'm working on a noiseless SSS setup with no splits right now, but it's the same principle as HSH. Gear 1 is the punchiest, loudest, most aggressive sounds, neck solo and bridge solo. Gear 2 is something that's a bit lower output, but stays punchy and aggressive, leaning more to percussive than thick (middle+bridge and middle+neck for me). Gear 3 is the mellowest sound, not necessarily the lowest output but tonally a bit more reserved, which is position 3, neck + bridge. That way I can have all my amp channels to get 4 basic sounds (plus a boost), and use the switch to get different shades from those basic tones.
Something in that vein that I think might work well for you is this:
1 - Bridge, series
2 - Bridge outer coil + middle, parallel
3 - Bridge outer coil + neck outer coil, parallel
4 - Neck inner coil + middle, parallel
5 - Neck, series
Plus a separate toggle or push-pull to get the neck and bridge in parallel when in positions 1 and 5. You get your gear 1 with the neck and bridge in series, gear 2 with the b/n+m splits or with the bridge in parallel, and gear 3 with the neck in parallel and the n+b split. Pain in the ass to wire up and plan, like I mentioned, but you get basically every kind of sound you'd want with nothing being useless or superfluous and without any crazy impractical switching to deal with - the whole thing is pretty intuitive to use.