I have to do some retopology on the green attachment ring in the image above in order to avoid heavy distortions, but I’m ending up with six pentagons (green) and two areas with complicated topology (red):

Does anybody know a clever solution? File is here. I escpecially want to avoid 6-poles at all and 5-poles on sharp edges.
PS: At least the pentagons don’t cause any shading issues, but I want to avoid them nevertheless.