4 Hour Charter $655. Integrity Charters four hour fishing trip is another great way to experience serious saltwater fishing in Hilton Head, especially if one may be wary of fishing in the first place. This charter is also great if your group is on a budget and wants to get some fishing on a world class charter boat but does not want to commit to one of the longer charters. This trip is considered offshore as Integrity will be fishing in the two to six mile range offshore.