In 1793, French exiles established the short-lived settlement of Azilum in Pennsylvania. The village survived somewhat well until the early 1800s when financial hardship forced the settlement to be abandoned. After Napoleon offered amnesty to those royalist sympathizers who fled, many French exiles including those in Azilium left the United States.
Supposedly, the group was building a grand mansion to house Marie Antoinette and her family after they managed to escape France.
Now, I doubt the Marie Antoinette and her family will be moving into the backwoods of Pennsylvania but the general idea is interesting. I would not be surprised if the United States is seen as a much more popular destination for French exiles. The US might see many more French immigrants early in her history, especially if the decision to grant the exiles amnesty is butterflied away.