Thank you for the recommendation.I believe the requirement is for the stamp-holder or "Responsible Person" to be physically present, so the only potential issue might be if you were to become inadvertently separated.
If using a Trust, there may be an option to temporarily add them as a Responsible Person for the duration of the hunt, but not sure how much effort may be involved with that.
ETA: may be slightly off-topic, and likely not saying anything you didn't already know, but would recommend checking alignment/threading of any potential host(s) before agreeing to mount a can on someone elses rifle...