What to buy?

I'm looking to film some sports highlights for my team. My plan was to put a gopro on an rc car and drive up and down the grass sideline for some low to heigh shots. Id like to buy a model that has good shock absorption to get the least shaky/bumpy footage possible. I'd like to spend less than $200. Any ideas?

EDIT: Looks like you guys dont think it'll work. I'll take your word for it.