I don't know what tracks are close to where you live, but that's where I'd start. PIR (Portland) is 20 minutes from my house and I've been driving there since the early 80's in club track days. I've also made trips to SIR (Seattle) and Laguna Seca and Thuderhill in California.
Around here, it is the Porsche, BMW, and Alfa clubs that mostly run track days, although the Viper Club also has a couple every year. There are advanced drivers available who can provide 'instruction', but it is really track time that these events offer. I just did one this weekend with the Alfa Club and had over an hour of track time before I called it a day.
There are two more events at PIR this month alone. I have done most of my driving in cheaper cars (old Alfas and a Z28) rather then our Viper, but if you start slow and work your way up, the Viper should be fine.
Look up the tracks and clubs in your area and go out and get some seat time! I still can't believe how much fun it is.
Jim