Few dates at end of May (23,28,29 and possibly more - didnt check) - come back on Monday June 5th. $505 Delta RT non-stopOther dates at end of may are $555-565 if you come back june 5 as well.
$485 for end of August and beginning of September nonstop on Delta - http://www.theflightdeal.com/2017/05/11/delta-485-new-york-venice-italy-roundtrip-including-all-taxes/