Hello fellow adventurer from Famfrit. There are some places when you can see about when the hunts will open, like this (point to Famfrit's hunts):

http://ffxiv.ariyala.com/HuntTracker/Famfrit
http://ffxivhunt.com/famfrit
https://ffxiv-the-hunt.net/famfrit

Of those 3, the Ariyala's one sounds more accurate.