I have to say I'm a bit confused about why you say if you had got the first fine, you wouldn't have got the others. Did you not know there was a speed trap?
Anyway, do you know anyone who has a long and sparkling driving history? Sometimes if you add someone as a named driver to your policy it can lower the premium. I know this as fact as it's happened a few times with policies I deal with. Having said that, I should say you can not do it the other way around, i.e. getting someone else to take a policy out on your car and adding you as a named driver, it's illegal.
Hope I haven't made that confusing.