I see mixed advice here that can help u but also hurt u... and like the rest I will throw my .02 from my experience of 27 tickets in 13 years of driving.
call a few lawyers, anything can be taken to court and it is the better way, u might pay a similar amount for a lawyer but u r less likely to get points... points make ur insurance go ^, points mean u fucked up... either u admitted to it or the gov had proof. bottom line u look bad for the insurance. some time the cop wont show n it will get dismissed but if u represent urself n the cop does show what would u do? how would you go about proving that u didnt speed.
u can only elect traffic school 5 times in ur life time, however if the judge sends u to it it doesnt affect ur 5 times, also electing traffic school reduces the cost of the ticket a small % but u have to pay for traffic school so u end up paying more $ in the long run... but NO points which is what it all comes down to.
good luck.