The key to solving this problem, then, is to make it easy for the horse to stay tied and difficult for it to break away. Second, provide a full haynet where the horse is tied so that the animal has an incentive to stay in place. Third, use a regular halter and lead rope, but tie the horse up with a slip knot so that you can quickly release it if the animal begins to seriously struggle. Fifth, make sure you don't tie the horse if it already seems keyed up. Sixth, make sure the horse has plenty of turnout every day.
Nothing makes a horse giddier than to be locked in a stall all day.