We've been there in June before, in 2000 (Honeymoon), 2003, and 2007, but always in the first week. This year we don't want to take our 7yo out of school, so we're waiting until 6/11.
We've also done mid-September twice (2002 & 2007) and mid/late October four times (2001,2005,2006,2009)...