All my amps fall in this genre. Fender Champion 40, Vox AC10C1, Blues Junior, Quilter Toneblock 45. They all would probably work for you, but the best jazz tones would be the Quilter. SS, but very warm natural tones without the high kind of irritating high end jangle that can come out of all the others. It's very small, I keep it on my pedal board, you can run an external cab or just pump it through the PA or monitors, which is what I do at rehearsals.