Our recovery method starts long before the shot. Perhaps starting with equipment choice, practice & stand set-up.
Example, Last fall I opted to experiment with a heavier arrow with a very sharp single bevel broad-head that offered a high FOC. We should not overlook the practice that improved the chance of a humane quick recovery. Lats seasons shot opportunity was set up with a high liklyhood for a 15 yard shot. The stand location was chosen 150 yards from a private property line, that could have made for a more challenging recovery.
Had 6 sits in that stand before the shot opportunity presented itself at 15 yards. As the deer approached the shooting lane the bow was drawn. As the deer walked at a brisk pace into the shooting lane, a rather loud bleat was let out to get him to stop in the shooting lane. As the deer stoped the pin was settled in the vitals and the arrow was released.
While this may not be what the op was aiming for this recovery was near ideal , at least in my book. They all do not go this way, though this kind of results should be the goal. .
In this case after the arrow was released, the deer was closely observed for the next 30 seconds or so as he bound off a few leaps then proceeded to walk a few steps before collapsing for good. The bow was then let down from the tree and the gear hanger & pack was dismantled. I rappelled down the tree removing steps as I went down. When reaching the ground The bow pull up rope was used to pull down the repel rope.Packed up the gear and went directly to the downed deer, perhaps 45 yards from the stand.
The downed deer was near water that I intended to use to transport the deer out on by canoe which I never brought along this day. If I did not use the canoe the deer would have needed to be dragged out for nearly a mile to get back to the vehicle. So the deer was dragged a few yards closer to a water access point & dressed out. The heart & liver were saved.
I hiked back out to the vehicle with the bow and my pack. Traveled back home to get the canoe & returned to retrieve the deer and the remainder of my climbing sticks & platform. Had to drag the canoe a ways to the waters edge. From there the canoe was navigated to a extraction point that was roughly 15 yards from the deer. Once the deer & remaining gear was loaded in the canoe, I paddled back to the vehicle.