SD is great for jazz. I go back and forth between a princeton clone (Morgan PR12) and the SD18, and although they sound different, both get beautiful, clear, jazzy tones. The budda does a lot more of course, as well. I have also heard great jazz tones coming out of Marshall's, so I think any nice sounding tube amp can do it. Come to thin, of it, I sometimes use a Laney LC15 (no reverb variant), which is supposedly basically a marshall type circuit of some kind, and sounds like it, and does great in a little jazz duo/trio I have played in on occasion.
But the cleans from the SD are just fabulous, imo, and really easy to use in a Jazz setting.