I have to admit that though I don't mind having to deal with a lot of rules, I'm not a great fan of this idea. My problem isn't so much the concept of having to note on a piece of paper which player really has the ball (though that would be somewhat annoying...). The bigger problem I see, is balance. Attempting an simple hand-off in order to prevent someone from blitzing the ball carrier next turn is overpowered, and forcing the opponent to guess at who really has the ball, is going to be a royal pain, though it would be slightly better.
While I like the basic idea, I'm affraid that this is one of those things that doesn't really translate very well into the game.
If we look at it again though, why do players try and make a fake hand-off?
1) Confuse the opponent to get a couple more yards before they're tackled.
2) Get more time to make an uninterrupted/-cepted pass.
As I see it, there is no real good and easy way to simulate confusion in the opposing team. You can do it by makine the ball "disappear", but this becomes cumbersome in gameplay, or you can do it by (potentially) making the ball carrier immune to being blocked/blitzed, which IMO is overpowered.
Alternatively you could try and let the skill affect Passing attempts, i.e. by letting a Passing player, that has made a Fake Hand-off in the same turn as the Pass, ignore enemy tacklezones with regards to modifications to the passing attempt. And/or add an additional negative modifier on any interception attempts. Arguably the problem with this is that those two types of modification already are covered by Nerves of Steel and Safe Throw.
So back to the starting point. Interesting idea, but no real good way to implement it, so that it has a real point in existing.

Enjoy your life. It might be your last...