For that price you may have to stick to 2wd . 1/10 ECX Amp 2wd Monster Truck . I don't have one but they are supposed to be pretty tough . Add a couple of extra batteries and a half decent charger and there is your budget . Horizon Hobbies has them at about $190 Can . I think with free shipping .
In really cold conditions , plastics can become brittle ( you probably already know this ) and can break rather than flex .