The Outback will almost always take an East team. It has nothing to do with pecking order. They've had an SEC tie in for 15 years. They've taken 12 East teams, Auburn twice, and Bama once. They took an East team for 12 straight years from 1997-2008.
They will occasionally take Auburn, because Auburn is close to Florida and travels well to Tampa. Other than that, it'll be an East team as often as possible.
The Cap One will usually take the best available team regardless of location. The Outback and Cotton though usually take the next best East and West teams respectively, and only occasionally do they waiver from that. The Cotton, for example, has had an SEC tie in since the 1999 season. In 11 years, they've had a West team 9 times, with Tennessee getting the draw the other 2 times. You can generally assume the Cap One gets the best non-BCS team. Then the Outback takes the next best East team and the Cotton takes the next best West team. It doesn't always go that way, but that's the general order, followed by the Peach and Gator. I don't know if the Gator fits in before the Peach or not or if they share the pick, but those are the next two, followed of course by the Music City/Liberty (in no particular order), and followed last by the Pizza Bowl.
In your scenario, most likely, South Carolina or Florida would end up in the Outback, assuming LSU was the 3rd SEC team taken (Cap One Bowl). You'd be fighting Arkansas for the Cotton. If you didn't get that, you'd be either Peach or Gator with either Florida or South Carolina in the other.
That's assuming Kentucky doesn't make a move to jump ahead of South Carolina in the pecking order, and I don't think they will. They could make a move to move ahead of you in the pecking order potentially, which would knock you to the Music City/Liberty tier assuming everything else plays out as expected (and it won't).