I can enter 4 bracket tournaments that have credit payouts. Yes, I do have to put up an entry fee of 100 or 200 credits, but they are available. The fact that this is a free to play site does make it more difficult to find free credit award tournaments, especially bracket tournaments.
My advice would be to find a large country club that sets lots of bracket tournaments. Another option would be finding a club that has regular head to head bracket tournaments using a bracket generator such as Challonge.