"better fluidy cleans, singing leads, crunchier midds and tighter bass" than a c5. Well this one is difficult.
Because generally if you were to go for a tighter bass then you'd have to comprimise them singing leads.
From what I read (couldn't try both of mine yet) the BroBucker is the one you could live with.
Actually there is a off the shelf duncan pickup, but I know you won't take this that easily: The PhatCat bridge. Does all that you are describing when you use your guitar's tone controls. But it is single coil.
I guess your next best bet would be a Jazz bridge. But then again singing leads might be somewhat lacking (of course provided that you do not touch your tone controls).
Good luck.
B
PS. You might wanna check Jim's Fillmores. I think you could like them. But they are somewhat pricey.