If you want to go fast for a sustained distance, here are some ideas.

The Silver State Classic - a 90 mile open road race held in Nevada on a public highway (closed for the event) each year. The caveat is that there are fairly stringent rules for safety that might restrict you from fully enjoying your SRT as a stock vehicle.

The rest of these are from Wikipedia. A number of other Open Road Racing events have also started. MKM Promotions puts on three events in Northern Nevada at Wendover, Elko and Battle Mountain, all with similar formats, a few more high speed corners and comparable rules. The Big Bend Open Road Racing organization runs two races in West Texas each year: the eponymous Big Bend Open Road Race in April and the Road Runner event in October.

You can google for links to any of these, and the Silver State is in the Wikipedia too.