Are you able to ask the "why" question?
Former bowhunter here and although a bit old fashioned about things I just do not see trying, for example, to sight in on some target while drawing the bow and doing some sort of camera PTZ . Or having someone else try to remotely move the bow camera while the archer is drawing and aiming. Especially in the field and/or weather.
Weight and balance likely to be issues.
We used short stabilizers to help balance and weight the bow. A flexible "bendy clamp extension/mount" is likely to just flop about and overall do who knows what to the bow's mechanics and action upon arrow release.
Is the bow is also fitted with laser sights? Does the archer use a mechnical release?
At full draw, anchored, aimed, and then the PTZ camera goes "ummmm" and moves about. Action/Reaction comes into play.....
= = = =
I can envision mounting a small fixed lens camera (Go Pro perhaps) at the end of the stablizer in a way that perhaps shows the target and surrounding area. Straight forward and easy. However, full disclosure, mounting the camera may be a bit tricky - PTZ requirements aside. Batteries/power - where placed?
You really must ask more questions and be sure that the requirements are clear.
If anything get some photographs or diagrams showing the bow as it is now and what the bow is expected to have and look like afterwards.
And, be sure that the bow is indeed a compound bow versus a compound crossbow.
Trust that the plan does not include eventually mounting the bow, etc. all on a drone....
