While the "DICTIONARY OF AMERICAN NAVAL AVIATION SQUADRONS - Volume 2 - The History of VP, VPB, VP(HL) and VP(AM) Squadrons" has many, many references to aerial mining, the vast majority of them refer to post WW2 operations with P2Vs in the Korean War era or mission capabilities of P-3s in the modern era
Generally, Black Cat missions are generally associated with the PBY, however there were other USN patrol type aircraft involved, some only peripherally, in mining operations during WW2.
In the squadron history of the first VP-29, during the period of its designation as VP-72 (1 July 1941 to 1 October 1944), page 195:
"11 Nov 1943: The NAS Kaneohe detachment joined the rest of the squadron at Funafuti, with tender support provided by Curtiss (AV 4). During this period the squadron was assigned sector searches, night antishipping patrols, and mine-laying and Dumbo missions. By 1 December 1943, the squadron's mission shifted solely to Dumbo missions, with one to two aircraft detachments at Funafuti, Nanomea, Apamama, Tarawa and Makin islands."
and, for the same squadron:
"1 Jan 1944: The new year brought with it an unusual change of duties for the squadron. The PBYs were adapted for aerial minelaying. Several missions were conducted throughout the month, mining approaches to bypassed Japanese island garrisons to deny them resupply by sea."
The wording here strikes me as a little odd . . . I am wondering just how "unusual" the change of duties is and how were the PBYs "adapted" if they were doing the same sort of mission less than two months before.
On page 240 under the history for the third VP-43, during the period of its designation as VP-28 (1 July 1944 to 1 October 1944):
"1 Jul 1944–Oct 1944: VP-28 was established at NAAS Harvey Point, N.C., under the operational control of FAW-5. The squadron was allocated 51 officer and 166 enlisted billets, but was not brought up to a full manning level until the end of the month. The squadron received the first of 15 PBM-3D Mariner seaplanes on 9 July. Within the week, all of the aircraft were evacuated to Banana River, Fla., to avoid damage from a large storm front entering the area. Training had scarcely recommenced when it became necessary to evacuate half of the aircraft again on 1 August 1944 due to a second hurricane. The seven aircraft returned from NAS New York three days later, and the squadron attempted to restart the disrupted training syllabus. Ground school training was given to all hands, with aircrews receiving antisubmarine warfare, torpedo, mine laying and gunnery training. Accidents occurred, but no fatalities. On 17 August 1944, one crew was forced to ditch in rough open seas, damaging the aircraft beyond economical repair. A hurricane disrupted the training schedule again on 19 October 1944, but did not prevent the squadron from meeting its 29 October 1944 deadline for completion of training."
Note though this is a PBM squadron not a PBY squadron, and its history has no further mention of mining operations/
In the entry for VPB-113, during the period of its designation as VP-13 (1 July 1940 to 1 October 1944) on page 410 there is:
"17–18 Apr 1944: VP-13 conducted five mine-laying sorties (Mark 10/Mod.6 mines) from Eniwetok in the waters surrounding the island of Truk. It was found that the external wing mounts for the mines so affected the handling and airspeed of the Coronados that they could scarcely attain an air speed of 116 knots."
Note a PB2Y squadron, not PBY.
On page 522 there is VPB-109 while in its designation as VB-109, flying PB4Y-1s:
"28 Dec 1943–13 Jan 1944: The squadron was transferred to Apamama, Gilbert Islands and conducted its first combat patrol on 31 December 1943. On 1 January 1944, Lieutenant John F. Bundy made the squadron's first kill, sinking a 2,000-ton cargo vessel near Mille. The squadron's arrival was greeted the next evening by an enemy air raid that destroyed one aircraft, damaged two others and wounded three personnel. Throughout the month of January the squadron continued attacks on enemy shipping with good results; dropped mines at Maloelap Atoll, Wotje and Kwajalein; and served as fighter escort for photographic planes from VD-3 on low-level missions. On 13 January 1944, Lieutenant Samuel E. Coleman and his crew failed to return from a patrol."
VPB-118, another PB4Y squadron on page 540:
"2 Jun 1945: The squadron was ready to return to Okinawa from Tinian when disaster struck. One aircraft caught fire while undergoing last-minute maintenance, and one more was destroyed and two others damaged when a crippled B-29 crashed into the parking area. All the squadron welfare and recreation gear plus most of the personal baggage was lost. The aircraft were quickly replaced and after only a few days' delay, VPB-118 was back on Okinawa by 7 June 1945 continuing its antishipping patrols, conducting strikes on land targets and dropping mines in harbors throughout the Korean coastline and Kamine Shima."
There are a couple of references to other squadrons dropping the Mark 24 mine, but, as you are no doubt aware, that weapon is not really a mine.
Rich