Just uploaded a guide for BHS in the guides section, hopefully it helps.. Keep in mind though, you don't NEED to do BHS to submit runs in Any%.. only the top 3 times currently use it.

i find 60 fps to be the most consistent, think crouching and uncrouching on the dolls head helps it move into the corner. once it's in or near the corner, run back and forth with shift held (uncrouched) over the edge of the head. if you get clipped out, do not jump or crouch near the wall or you'll get sucked back in. if you are stuck in the wall, run over to the part of the wall that sticks out and run along the wall to get unstuck, aj has a small vid explaining that on discord help section. gl