Humbucker? Single-coil? Or one that floats and simply attaches to the neck like those ones you have on big hollow-bodies? How cheap is cheap?
lol humbucker. Maybe 40-80 ish bux. Im not to worried about name brand. Just that it has that thick creamy jazz sound.
A hollow guitar will put in many more miles towards sounding jazzy than any pickup. Take Charlie Christian's jazz tone, that was the most basic shit imaginable.
id go look at guitarfetish pick ups