First of all welcome to the forum.
I was just over in Hartford a couple of weeks ago and bought a bunch of reloading supplies from Lee Precision Reloading. A great little town and the officer I spoke to on the street was familiar with OC law. If any of you guys get to Hartford, you gotta eat at The Mine Shaft which is located right downtown and is very welcoming with great eats.
A motorcycle is considered a vehicle and as long as your gun is cased and unloaded you may carry it anywhere on the motorcycle including any saddlebags or backpacks. Just imagine yourself having newly bought the pistol and were bringing it home from the gun store... it would be the same thing.