Flovent isn't a rescue inhaler, but a maintenance med. You may already know that, but just wanted to clear it up. Feeling it in your mouth should be fine...As long as you inhale as powerfully as you can. Just rinse your mouth out and keep going on with your day.
You may consider doing something like serevent or foradil. These are long-acting bronchodilators that are usually taken twice a day to help with exercise-induced bronchospasm. These MUST be taken with an inhaled steroid, because studies show that work a lot better when in conjuction with an ICS (inhaled corticosteroid).
It depends on what you like, but the bricanyl may help better than the ventolin or vice versa. You don't know til you try, really...