I looked at all the memorabilia on-line stores that sells PJ items and found nothing matching your description.
Although you can find places that market the PJ angel as the angel of mercy due to the humanitarian SAR mission, the mercy angel descriptive use is not something unique to or limited to pararescue.
The Angel image used on Pararescue Beret flash, approved 1 June 1966, and adopted from the Air Rescue Service organizational flag, approved 2 June 1952, is described in all official documents as "a Guardian Angel surmounting the globe with wings partially enclosing the globe."
The Pararescue heraldry associates more strongly with the Warrior Guardian Angels and less so with Angels of Mercy or Healing Angels. Most often the specific association is to St. Michael the Archangel.
Christian tradition gives to St. Michael four offices, one of which is To rescue
the souls of the faithful from the power of the enemy, especially at the hour of death.
I highlighted in red text the connection to the combat rescue mission purpose existence for the pararescue military occupation.
Guardian Angels Angels of Mercy Healing Angels Pararescue
Air Force Pararescuemen, also known as PJs, are the only DoD elite combat forces specifically organized, trained, equipped, and postured to conduct full spectrum Personnel Recovery (PR) to include both conventional and unconventional combat rescue operations. These Battlefield Airmen are the most highly trained and versatile Personnel Recovery specialists in the world. Pararescue is the nation's force of choice to execute the most perilous, demanding, and extreme rescue missions anytime, anywhere across the globe.