OK, so putting the Manhatten in the bridge position would give you a bright airy tone usable for jazz, the SM in the neck more for the vintage type of jazz tones.
Could be done i think, i have a Tele set up with a PAF type neck and a Tele vintage single in the bridge, they pair up very nicely. But im personally not keen on jazzy singles sound.
Still when i think about my semi's, and i also have an old MIJ HB35, i think you need something exeptionally tight in the bridge and i dont know if you can get that out of a Manhatten.
Im pretty sure though, either manhatten or SM would sound terrific in the neck pos.
Still, i think something worth considering is a bridge mule(or SM with AIV), its not as high output as you might think and its very very tight and a bit middy, great pup for modern jazz and fusion etc. Rolled down a bit the punchyness is replaced with a nice, slightly hollow round tone. Think more like the Scofield PAF type sound(he rolls down his pickup too), when rolled up again a bit and then getting a bit more fusion type tone like Robben Ford.
Anyway, one thing im sure off, compared to clips, youll get alot more versatility, so im not really worried youll get a great jazzy tone out of any of these pickups mentioned. If you think HB's are often not clear enough, you definately should try the Mules, if not for Jazz then at least for their versatility. Ive had alot of 'clear' sounding pickups which had too much brightness or bite or were not tight enough for clean playing, but these have a nice middy punch and very sweet rounded sustain, just gotta love em.......
Good luck, Henk