Ships of the class
The Cheyenne-class studio model was a "kitbash" design study and filming model designed by Ed Miarecki and Michael Okuda and built by Miarecki for the graveyard scene in "The Best of Both Worlds, Part II."  It used parts from the smaller scale AMT/Ertl USS Enterprise-D model kit saucer section, a bridge module from the larger Enterprise kit, and commercially-available highlighter markers for warp nacelles. Okuda commented,"I think the fourth was the Cheyenne-class U.S.S. Ahwahnee. (Again, without my notes, I'm not entirely sure). This was a scaled-down Galaxy saucer with four nacelles, arranged in a manner similar to the Constellation. Ed made the nacelles from marker pens. (...) There aren't many more photos of the final versions of the Miarecki study models. The Cheyenne-class ship on the Collectable Card Game (and other card sets) was, almost certainly, a photo that I took. It was probably part of the photos that I took for that slideshow." 
According to issue #108 of the Star Trek: The Official Starships Collection, the Cheyenne-class was a type of light cruiser with a crew of 320 and a top speed of warp 9.6. This class was used for deep space exploration and defensive patrol duties.
The Cheyenne-class is a playable ship in Star Trek Online, categorized as a Commander-level heavy cruiser. It also features two variants, the Dakota-class and the Stargazer-class, the latter of which is named for the USS Stargazer.