We're going August 14. I just booked our airfare a few days ago. We got a nonstop flight from JFK to Rome on Alitalia, and nonstop back from Venice to JFK on Delta (through Alitalia), for a bit over $1300. I was very pleased to get nonstop flights -- we live in Boston, but are driving to NY for the flight (and to meet my mom, who is coming with us). I think it will be worth it not to have to spend 5 hours in London in the middle of the night waiting to get a connection, which is how the very slightly cheaper flight from Boston would have worked.
Good luck - and be sure to keep us posted on your trip!