I don't know if this is G-T specific or Price specific, but ...
Didn't Merv Griffin once release an album of some of the cues he composed for use on "Wheel of Fortune"?
I know that, at various times, there's been uploaded the cues "Frisco Disco" (the theme to the 1978 "All New Jeopardy!" but when used on "Wheel," was truncated slightly at the beginning (to delete the horn fanfare)), "A Time for Tony" (the light piano fare that builds toward a triumphant end) and "Walking On Sunset" (a saxophone-dominated tune), among others. The shopping cue "Nightwalk" has also been heard ... but what about the others?
And we can't forget Alan Thicke and his original set of prize cues for "Wheel," including the most familiar one, "Happy Sax," which often looped during extended prize descriptions. (The cue, IIRC, was around 45 seconds but looped back to the beginning just before completion if it reached that point.) That one was probably the best cue.
So ... my answers are Merv Griffin and Alan Thicke.
Brian