BBB, Desert Shield started 2 August 1990. Desert Storm went from 16 Jan 91 to 24 Feb 91, when Operation Desert Sabre (the land war) began. Desert Saber ended on 28 Feb 91.
If you're referring to the Southwest Asia Service Medal, it includes time from 2 August 1990 through 30 November 1995, and is divided into three separate dates. (Defense of Saudi Arabia, Liberation of Kuwait, and SWA Cease-Fire). I have a star on my SWASM because I participated in two of those three events.
Even lumping Desert Shield, Storm and Sabre together, you're only talking a stretch of 2 Aug 90 to 28 Feb 91; a period of 7 months. I can't remember what the flight time waivers were, but I don't think that the 90 day lookback allowed more than ~350 hours (30 day was ~150). Please correct me if I'm wrong.
I left the operational world in '91 to fly white jets until '94. When I returned to the ops world, I flew out of Saudi enough 94-98 to apply for Saudi citizenship. (I got to the point where I knew PSAB blindfolded). Even after leaving active duty, I flew Operation Northern Watch missions in 2002; SWA ops have been continuous since Operation Desert Shield.
I guess that I could say that I've got over 1000 hours flying in Desert Storm, but there's no way that I could look myself in the mirror and call that even close to factually correct.
(I wasted way too much time researching this minutia; it wasn't an attack on you, BBB; I understand where you're coming from. For me, this was more of an exercise to dig up some Cliff Claven trivia. I lost my AF flying records long ago, so I've got no earthly idea of how any of my time was classified.)