Most states allow insurance companies to "charge" a surcharge for tickets and accidents for 3 yrs HOWEVER most insurance companies underwrite from 5-7 yrs. This means it is up to the company to provide you with coverage if you have incidents (not at fault accidents, non surchargable tickets, any other accidents and tickets included) within the last XX yrs.
On another note, in my state, it is next to impossible to get physical damage coverage on most motorcycles, especially the "crotch rocket" bikes. The rate of theif and the potential speed of the bikes are the reasons.