The playoffs that year are Fiesta and Peach, so your only shot is the Cotton Bowl (Rose, Sugar, and Orange don't take at-large teams). One of those spots goes to the G5 auto-bid, so you'd have to be ahead of every single at-large team. That's a tall order. Conceivably you might have to be as high as #5, but probably #8 or #9 will be enough.