Making the power to push our "old bricks" to 200 isn't a very difficult task anymore with all the options out there. As Jody said, the trick is keeping the car in contact with the pavement at that speed. It's terrifying when the nose of the car gets so light that the steering wheel no longer seems connected to the tires. Factory spoilers or not, Camaros and their 1960's barn-door aerodynamics and lift instead of downforce will likely be terrifying at such speeds. It may not be a Camaro, but I've pushed my car up to 175mph running side by side with a friend's Viper GTS Coupe and I wouldn't do it again-- I got a very good look at the bright light and I don't care to see it again anytime soon.
Yes, it was that scary. I think you'd have a very similar experience in a stock-bodied Camaro with no Aero trickery.
I've been just under 200 in a car before, but it had the aerodymanics to handle it (Ferrari F-40.) A much more stable and in-control experience, at least when I was driving. I was a very uneasy passenger going that fast.
My tires may be Y-rated to 186mph, but I know what would probably happen if I tried to reach/exceed that. Think of a flying car a-la Chitty-Chitty-Bang-Bang, but without any flight controls. I suppose at that point you could use the doors for rudimentary yaw control...
My suggestion, for your own sake, is to keep the talk of 200mph just that: talk. Unless you want to call the FAA and get a tail number assigned...
Troy