I used to be SUCH a guru for a proper headset. When I was training, the headset meant the horse was using his body properly, everything I was working for!
Now that I'm not training anything but my own horse, I just let her nose poke out all she wants on a loose rein, as long as she is balanced. If she becomes unbalanced, I gather the reins up and rebalance her. When I want to put her into real work, the body engages and the head drops. But proper engagement isn't what I'm striving for anymore, so I don't worry about it half as much as I used to. We're training for team penning, and something tells me piaffeing after cattle isn't the best way to pen them!
I use a snaffle on my horse and she does well with it. I've teetered on changing her bit but I didn't see the reason for it because I'd be fixing something that wasn't broken.
And those who were seen dancing were thought to be insane by those who could not hear the music