I am looking to travel R/T from ORD to CCU starting end Dec or early Jan and return after around 25/26 days. Right now, the lowest I am getting is 1122 on AI. Is it possible to get a lower fare for my travel period? I am not sure whether to wait or book it right now.. I got this fare on Priceline. Will contacting an agent help get lower fares for my travel period?

I am not too inclined to travel on AI.