The US Naval Institute Proceedings has a short article addressing a perceived gap in our SAR capability. His suggested solution is a smaller boat capable of operating in very shallow water, carried by our Response Boats.
Even if it is not possible to carry the smaller lifeboat aboard the Response Boat, it might be possible tow one astern, if it is clear that the case is in shallow water.
We might also be able to develop something using a line throwing gun and a float or special lifejacket.
In any case, this is excellent feedback from operator and probably deserves some consideration.