Stick tires/Quiet/Long tread life....sounds like an expensive tire.
The 20's are getting more sizes available in the 26.7-27.2 range...but not as plentiful as the 19's.
Unsure your price range, but Michelin seems to sound like what you're looking for in s tire.
These new Continental tires actually look like a Michelin & cost just as much...My Invo tires are actually quiet & are very smooth riding.
Z will still light up those 345's-even with the 3.357 gearing.
I usually go through 2+ sets of rear tires to 1 front; but have been easier on the pedal with this last set.
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