You could modify it as shown in my picture. I added lines tangent to the 11mm circle and in this example I set them to a 40 degree overhang which should be fine, the top line is also tangent to the circle and in my experience it's easier to bridge a small section rather than do a bunch of small overhangs like an arc would do. You still end up with quite a bit of contact but also easy to print.
I did something similar to this on my printer where the smooth rods enter horizontal holes.
![Angled Overhang](