During the week I was there tourists were never a problem. If a tour group was going into one complex I went to another or would go the opposite side as the tour group. We might meet in the middle but at either end I would have the area to myself.
Even in areas with statuary it was easy enough to wait several minutes for people to move on before taking the shot. It gave me time to more carefully consider lighting and composition, varying the amount of fill flash, etc. instead of shot gunning it.
I highly recommend hiring a car and driver. You get someone who knows the area well and how to work around the tours, air conditioning for a break, and a place to stash extra gear and have it watched. You also get a guide and interpreter and have a better chance of finding out of the way spots in the countryside.