The Turn Signal Module is below the fuse box, I think it has an identification lable on the front of it. Above that is the LED Flasher Relay. The two small square relays near the fuse box are nothing to do with the flashers (I think). The supply fuse for the flashers is the 5 amp one in the LH (port) side, forward row in the fuse box. If all the connectors are good and the fault is still there, maybe there is a fault code on the ECU that will point you in the right direction as to the problem. With a 2500 mile trip to your dealer, maybe they will send you a signal module to change, that is the main part of the system so more chance of a fault there than anywhere. Good luck!