What is high output? Why do you think you need it to have high output? How do you even know if something is high output? What does "350+" refer to?
You wont get clarity
with output unless you also want it to sound sterile.
You wont get bass
with oputput,
without treble, without muddiness.
Warmth and clarity comes from low output (which does not mean low volume)
Winding a hotter pickup adds mids, removes bass and treble, to the point you have to use a different magnet to artificially boost the bass and treble (ceramic mags). Ceramic mags would never ever be described as warm. They are brittle and harsh.
Essentually, you are asking for the impossible, in a normal pickup.
Maybe a three coil version of one of these we recently made, might work. That way we can select three different windings (and magnets) for each pair of strings. Could even add an adjustable tone and volume control to each coil.