I've also been giving it further thought and come to the conclusion you won't find any OS2U Kingfishers in the Pacific in June 1942 other than
1. At PH as previously discussed or
2. On the Seaplane Tenders sent to the South Pacific or
3. On the battleships of TF 1 which didn't participate in the Battle of Midway.
Pre-war the standard scout / observation aircraft for the USN battleships and cruisers was the biplane Curtiss SOC Seagull. Production of this ended in 1938. The USN had two replacement aircraft lined up from a 1937 competition:-
Curtiss SO3C Seamew - entered service in July 1942 with first aircraft allocated to the new cruiser Cleveland. However it turned out to have "an unsatisfactory operational record" and production was terminated in Jan 1944. As a result all the remaining SOC Seagull aircraft were restored to operational standard and returned to the fleet. Some of the older cruisers were still using the SOC in Sept 1945. This is San Francisco on 28 Sept 1945 off Korea.
Vought OS2U Kingfisher - entered service August 1940. 53 OS2U-1 built 1940. 158 OS2U-2 built in first half of 1941 followed by another 366 OS2U-3 in the second half of the year and another 938 OS2U-3 / OS2N-1 before production ended in Nov 1942. (OS2N-1 was a version of the OS2U-3 built by the Naval Aircraft Factory). But many of the early aircraft went to training units at Pensacola with 53 going to equip the Inshore Patrol squadrons at Jacksonville NAS, Florida. Most of the 300 OS2N-1 built in 1942 went to equip another 9 Inshore Patrol squadrons.
Kingfishers began to replace the SOC on battleships with 6 going to the Pacific Fleet in 1940. By the time of PH most, if not all, the Pacific Fleet battleships had traded their SOC for OS2U. But the cruisers still retained their SOC until much later in the war, especially the older 8" ships (see reference to San Francisco above) and Brooklyns.
The battleships of Task Force 1 were deployed between the uS West Coast and Hawaii for much of 1942. The principal reason for this was that the US Pacific Fleet had insufficient oilers available to supply them and the fast carrier Task Groups. Their slow speed also counted against them. Finally until after Midway the US believed that an IJN attack on the West Coast was a possibility albeit one much hyped by the press at the time.