Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Dubai International to Samsun as you normally would.
Yes, there are multiple flights from Dubai International to Samsun for under AED 1,469. The cheapest flight booked recently is on Pegasus Airlines for just AED 1,197, but on average you can expect to pay AED 1,840.
There are no direct flights from Dubai International to Samsun, but Cheapflights can provide you with all the information you need to find the fastest route with the fewest stops.
For as low as AED 2,568, Turkish Airlines can have you in Samsun from Dubai International in 13h 40m. Both multi-stop and direct flights can be found to your destination and back.
Pegasus Airlines, at AED 1,198, was found to be the cheapest airline from Dubai International to Samsun. An alternate airline flying to your destination would be Turkish Airlines.