Not a real answer but ---
Think about what you are actually trying to show in your photographs (or videos).
Also think about how you normally use your eye(s) during the procedure.
The issue can often be that the camera lens is not positioned exactly on axis with the eye.
Glasses cams (such as the 'hidden camera' types) have the advantage of positioning the camera at the bridge of the nose -- which is typically about 20mm off axis. If that's close enough for what you need, then they might be possible -- though you may have close focus issues, plus the fact that they typically don't have a great dynamic range or much light sensitivity.
Of course if you can use a camera with a built-in viewfinder and can look at the viewfinder instead of looking directly with your eyes (thereby eliminating the parallax offset issue) this might work. You could even try this with a modern cell-phone camera (though you might need to attach a small diopter filter in front of its lens to get it to focus closer)
You could also take a different approach and essentially build a rig for a mini camera onto the front of a set of goggles -- but as part of the rig build in a small half-surface mirror that you would be looking through - mounted at a 45 degree angle -- and the camera could be adjusted to be on axis with your view. (The nearest commercial approximation would be a mini-teleprompter rig.) With this configuration the camera would see exactly what your eye sees -- though it would be a bit heavy and clunky to wear. You'd want to use a camera that could be easily remotely triggered - preferably with a wifi or bluetooth system that also transmits the image live to a tablet or smartphone for you to be able to see and verify your framing.
Hope this helps you think about your requirements...
-DS
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