I think you're in the proper forum- beyond that, w/a Jazz in the neck position, I'd call it a JP.

Slightly more seriously though, I always thought a pair of single-coils would hum unless they were balanced(both full-volume); this has been my experience w/my Jazz 5. Also, a 51 PU *where it usually goes* to me seems to leave little room at the neck, unless you mean right up against the neck end, like on some guitars.