You can use this website to check each day if either Air Force flew or not:
http://paul.rutgers.edu/~mcgrew/wwii/usaf/html/
But AFAIK the reason why a strategic air force was based in Italy was to hit targets out of range from England, or easier to hit from the south (like Southern France). The 15th AF could attack Berlin from its Italian base, but only did once at the end of the war as it had no more targets in Balkans.