They won the NC the year before they began SBC play.
And for the baseball NC, conference is moot. They have to play their way there.
And a bit of trivia: As Arizona knocked us out of our regional as the #1 seed,* CCU knocked LSU out. Both made it to the NC game.
*Speaking of something fishy, 'Zona beat us because they went back to their ace on 1 or 2 days rest. Tony would never do that, he would never put a kid's arm at risk just for a W. So they advanced.