Yea, your run was only in the NCAA tourney. You went 0-2 in the SEC tourney. LSU has won 19 straight now, probably going to be 20, heading to the NCAA tourney.
At this point, they are a lock for a national seed. Their RPI has moved into the Top 10, and with the string they are on, there is no way they don't get a national seed.
I do see them getting to Omaha. Whether they can win it all is just a matter of whether they get the breaks or not. There will be enough other good teams there that it'll come down to whose pitchers have a good day and whose have bad days.