I have a HP Reverb G2 but I haven’t installed BMW 4.37 yet (too busy with the holidays) - but I have a similar “issue” in iRacing, in that by default the head is positioned too far back into the seat for my liking.
To get around that, when sitting in my sim rig, I push my head all the way back (while wearing the G2 of course) and then press the “recenter HMD” button in iRacing. When I then sit normal again, I sit a lot closer to the dashboard - as if I moved the seat forward if you will. (This then places my wheel exactly where it fits in the game as well, so it feels way more natural to me).
Anyway, give that a try in BMS? By re-centering your HMD away from your seated position, you are effectively readjusting the view point forward.