These things happen. More often than not the games will be played in weather that is cold but there aren't usually a lot of blizzards. How many NFL late season and playoff games have been adversely affected by blizzards. And it wouldn't be a PR nightmare either.
But why have them at neutral sites in the first place? The championship game, I can see but the semi-finals? If the SEC teams are so darn good then they will host the semi-finals and the point will be moot.