I was based at Birmingham for 12 years. Man and Boy. Dan Air, and BA. Birmingham is a pig of a place. It has a runway at 90 degrees to the prevailing wind. More than that it sits in a hollow, so the wind curls out over the edge of the hill and makes mayhem with you on as you are about to touch down.
Even in the most moderate of breezes it is turbulent into BHX. On a windy day it is prehistoric in its ferocity.
If you fly into BHX as SLF, live with it. It comes with the territory. As a pilot if you can survive a few equinoctial seasons you will forever be good at crosswinds and turbulence.
Rough is a normal day at Birmingham.