Thanks for all the replies... I think that answers my questions. So it's possible but depends on the base and a/c. Wasn't sure whether you guys had a strictly "domestic only" aircraft, sounds like you don't.

And it's true that many folks here at AA fly more all nighters than their FDX/UPS counterparts! The reason being, INTL goes senior here and much of the INTL is night flying. The one exception is Caribbean flying, which is classified under INTL but is all daytime and goes relatively junior.