Directional control after touchdown...

you've got the right idea, you want to get the nose gear onto the
runway as soon as possible, for wind like that you can center the
ailerons, you only really need continous input when theres a strong
cross wind. centering the ailerons should counter the drift. use left
toe brake if you feel the aircraft skidding when using rudder input.
the sooner you get the nose gear to the runway the sooner you'll have
directional control