Hi,
I ran a Bullet with a Cozy for two years and your guess of 22/28/28 is not far off. After some use I found 24 ft/28 r/26 side to my liking. Too little in front gives wishy washy steering, too much and the tire will skid sideways under really hard cornering on slippery roads. For the rear and side it's mostly a question of load.
Enjoy, Daoud.