How to reduce effect of a speeding ticket?

On my way back from school I got a speeding ticket. I'm 17 and this is the first time I've gotten a ticket, although I was in a car accident roughly two weeks ago. As you can understand, I'm freaking out- I'd really like to try to keep this away from my parents, but I don't think that'll be possible considering that they pay for my insurance.

I was going 57 in a 30- Stupid, yeah, I know, but it was one of those things where it's technically residential but it was rural and 55 100 feet earlier, and I was thinking about a friend who's in the hospital. The fine is for $285.00, and I can pay almost all of that now, but I'm more worried about my record. With my age and having an accident so soon, this can/will really make my insurance skyrocket, and to be honest I just want this to go away. I don't want to go to court. I live in MN. What I was wondering is if I could get the speeding off of my record if I paid the fine and went to a Traffic School type thing? I've read stuff on the internet that MN does and doesn't recognize attending a class as a viable way to reduce or eliminate traffic violations on your record, and honestly I'm just really confused.