Hey fellow riders!

I am planning a trip cross country, starting in NYC to LA and back. I want to use the northenmost states going towards LA, and the mid to southern most states going back. I was just wondering about when would be the best time in terms of weather? I will be staying in hotels, but I will be most likely riding a hayabusa, so wet terrain is not exactly suitable. A bit of drizzle is fine, but I am trying to avoid torrential downpours. Any advice would be greatly appreciated.

Thank you