It's tough drawing on a bird and getting a shot without a blind. Not impossible, but tough.
As others have suggested, don't use flu-flus and don't put anything behind the point to retard penetration. Turkeys are hard to penetrate, in part, because they're physically light and move with the shot when hit, and their feathers slow an arrow a lot more than you would think. And an arrow sticking out of them doesn't stop them from running or flying, unless you've broken a leg or wing.
I've killed turkeys with Woodsmans, two-blade Magnus IIs and four blade Zwickey Eskimos and Deltas. Put it in the right spot and about any broadhead will do. Good luck.