Classic Jazz Guitar Tone

I have an Epiphone dot (335) and the full TH2. I have had a look on youtube, and some seem to recommend neck pick up with tone fully open, then pull the treble and bass down, and left the mid up 1 or 2 on the amp. I'm guessing part of my problem is at my finger tips, andd this will come, but what setting would be a good start. What amp in TH2, and how would you suggest setting it.
 
I can't get flatwounds here, and my strings are new. When I get out of this hotel, and into my apartment, I'm going to order some monitors from Thomann, so I think I'd get some flatwounds in the same order.

Speaking in very broad terms - you have a good starting point w/ a semi hollow. When I think classic jazz, I think of a very smooth guitar sound, with very little treble - so you'll want to roll it off either on the guitar, either on the amp. Typically, I'd use the neck pick-up, sometimes both pick-ups.
 
I don't own TH2, but I'm guessing that you'll typically want to opt for older, classic models of Fender amp - Gibson if that's an option.  I mean, you could probably use just about any model, a Boogie or Engl. But an old Fender will typically narrow down your palette to something that's already in the ballpark.
 
I have a very approximative notion of jazz guitar sounds, fairly old-school - so I'm thinking generic, along the lines of Charlie Christian, Wes Montgomery, etc... But modern players I've seen also seem to favour that trebel-less type of sound.

do TH2 have a bass amp or preamp?
Also might do the trick (if bass amp, have the tone knob on full)

Thanks Rain, sorry I guess I should have tried the same. Being utterly clueless on amps, I thought the TH2 names were the actuals names of amps from old.

When I think of "classic jazz tone" I see an ES-335 plugged into a Fender twin tube amp with rolled off highs, a clan low end and a slight mid boost, and nothing cranked excessively to get into distortion, and a hint of reverb.

Could well be worth trying the Marshall sim as well, just keep the presence, treble and bass down and keep the gain down to keep the sound clean. An open-backed cabinet may help as well. A clean Marshall running at low volume can have a very warm, almost bell-like tone.

Quite a lot of jazz guitarists use solid state amps, the Roland Jazz Chorus being an obvious example, also Polytones which are really bass amps and also amps aimed originally at electro-acoustics. The main thing for the Joe Pass "cocktail jazz" kind of tone is an absolutely clean amp with slightly reduced treble and bass so there's no "twang" and no bass thump either. Basically you're looking for the kind of tone an acoustic arch-top puts puts out only louder with very even response across the instrument's range.

For a Reinhardt "electric" sound I'd suggest the Randall Tweed - there's quite a bit of break-up going on on Reinhardt's later recordings where he had a pickup fitted (though some of that might be due to overloading the recording equipment used).