Your budget is not realistic to get into racing... perhaps if your club offers a "Spec Slash" class (our club does) and this is great to get folks into racing for $200, but there are tons of hidden expenses that will creep up on you... upgraded servo ($50) , LiPo battery ($50), Fast Charger ($50) , Quality radio ($100-$300)... see where I'm going?
See what classes they offer... also talk to the locals and see if anyone is selling their old rig... it will save you a fortune and already have a car that's tuned for your club.
Tires can get expensive... some clubs can wear through a set of tires in 1 race days, others might go 6+ race days before a set of tires need to be replaced.. be sure to factor these costs into your budget.
Best of luck!