Open sights are not the way to go for accuracy. Having done the trip from open to peep to scope to red dot to thermal. In pistols, rifles and shotties.
Practice is the only way with more practice on top of more practice.
Alot of hunting sporter firearms come without sights of any sort.
F Class shooters have a saying to the TR peep sight shooters you aim for the barn door we pick the lock through the key hole.