Hi Sweetpea,
How about when she is dry (after washing), does she start then?
I never use a spray head when washing. I use a quick disconnect and use the spray head to keep the water from running and then pop it off to rinse. I also do not go near the controls, behind the headlight bucket, the carbs, or up underneath the tank. These are wiped down with a damp rag...
You might want to check all of your connections for dielectric grease. This will help keep water out of these components.