Departures are available Sunday through Thursdays starting in mid-September through the end of May. Connection times in Istanbul are quite reasonable, but if you want to make it a 2-for-1 trip, free stopovers are allowed at no extra cost. Find out more about how to take advantage of free stopovers here.
Searching on the Turkish website, I found seats departing BOS on Monday, September 10 and returning from DXB on Monday, September 17, 2018. A Saturday night stay is required to book this fare at the listed price point.
If you are looking for something a little closer by, have a look at our full listings of departures on the Boston (BOS) flight deals page.
Need a flashy room in Dubai? Here's a listing of all the available accommodations for the sample dates above from Hotelwatchdog.