For those saying "it's no big deal" remember that tipping your head forward brings your weight forward too. In an event like dressage, where the horse should be carrying their weight on the back end more than the front end, looking down can cause all sorts of issues.
OP - good on you for spotting a problem and trying to fix it. Great suggestions here, let us know how it goes.
Mods, grant me the serenity to see the opinions I cannot change, courage to change the ones that should change, and the wisdom to spot the trolls.
Just remember, you go where you look, so if you're looking down.........only one place to end up! I LOVE the popsicle stick and ring exercise, I might have to try that one myself, just to make sure I don't hang my head.