@BillyIndiana there anew of us that run Michelin Commander ll's 130/90/16 f & 180/65/16 r .IMO handle much better than stock andante beatable milage.
 
Since OP is asking for a Classic & not a touring, many on here are running the Bridgestone Excedra Max 240/55R16 on the rear, paired with the shorter Avon Cobra in a 140/75R17 on the front and all are happy with that. I made that switch also & loved it. the shorter front tire makes the bike feel like a complete different bike, being easier to maneuver. The last front tire change I switched to the Michelin commander II in the 140/75R17 and after about 1500 miles I believe I actually like it better, definitely grips better in the rain and I'm judging that from having them on at last years 3 Sisters ride when it was raining the whole time on the very twisty roads there.
The Mich is a little more than the Avon but I believe it's worth it
 
You'll not regret that
Downsize the front to 140/75R17

I am curious about both these tires and intend eventually to try them:
Pirelli Night Dragon 140/75R17 rate at 67V at $157.00
Pirelli Night Dragon Front Motorcycle Tire

Shinko 011 Verge 140/75VR17 also 67V rated and only $112.00!!!
Shinko 011 Verge Front Motorcycle Tire

UPDATED LIST
Possible Rocket Roadster Tires.jpg
 
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