What about 103 GIAP? Is it possible this group was present and took part in the battle? The date and location of the crash landing of Tikkakoski Museum's restored P-39Q places it SE Finland, one week before the battle:
P-39Q Airacobra from Tikkakoski museum, Finland
17 June 1944 three Bell P-39Q Airacobras (20 USAAF 44-2092; 25, USAAF 44-3255, and 26 USAAF 44-2664) force-landed in South-Eastern Finland, obviously after getting lost and running out of fuel. Airacobras 20 and 25 belonged to 102 GIAP and 26 correspondingly to 103 GIAP, 2GIAK of Leningrad PVO. After years of meticulous restoration the Airacobra white 26 (with fuselage of original 26 while the wings originate from Airacobra 25) was put on display 6 March 2000 at the Aviation Museum of Central Finland in Tikkakoski, and is since then one of the gems of the marvelous collection of aircraft of this museum.