The squadron was assigned to 28th Composite Group (later redesignated 28 Bombardment Group, etc. - now 28th Bombardment Wing, Strategic Air Command) from 2 January 1942 to 19 October 1945 and from 4 August 1946 to the present (unless specifically relieved from assignment, a subordinate unit remains assigned to the same parent organization, even in an inactive status).
Nothing on the squadron having participated in the Airlift as a unit (it’s not entitled to the Army of Occupation Service Streamer with Airlift Device or Medal for Humane Action Streamer). Thousands of individuals of all branches of service and from ships and stations world-wide performed temporary duty (TDY) during the operation. Most, if not all, were attached by individual orders.
Morning reports will probably contain little more than simple lists of squadron members who participated: one on the day they were officially detached and another on the day they returned to duty with the squadron. The form is small and may only indicate the number of men detached with a reference to the orders assigning them TDY. Norm Richards is probably researching the reports, in which case, you shouldn't have too long a wait. He lives only a few minutes from NPRC St. Louis and is very adept at locating morning reports and certain other records.
You can contact the veterans' association you mentioned. It may not help but certainly won't do any harm. Let me know when you've received your info and especially when you've determined which squadron - 77th or 718th - was his permanent assignment.