I'm not a lawyer or anything, but I think I can offer you some paths to follow. However, you need to get a copy of his current custody and visitation orders, and copy and paste (or retype) exactly what they say as of today. This is critical in order for anyone to give you some valuable advice.
It's very hard to file for contempt of visitation without proper documentation and sufficent documentation of the denial (police reports, journalling, etc). Also, it's hard to file for contempt of visitation unless the order is VERY specific about times/dates and she clearly denied time that he was supposed to have them.
It is a lot easier to file for a custody order modification to clarify the order and a move (her move to Georgia) can be reason enough for a revisit of the current order. If your order is written clearly enough, it won't give her any wiggle room to deny time and be able to get away with it.
So please get the orders and tell us all exactly what it says.