A "jazz tone" is easy. Set everything at noon with no dirt. Set the guitar volume on 8 and tone on ten. Neck pickup. Thick strings. Flatwounds if possible. Start from there and adjust. The most important thing is to not play sloppy.
Thanks very much guys, great lesson! I am just about to purchase my first hollow body guitar and amp after playing classical guitar for years, so these tips about how to get the right jazz sound out of the gear were perfectly timed for me.