I've got a 3 row OEM radiator of unknown year in my car, no auto trans cooler on mine. Also I heartily suggest replacing the drain **** with a low profile plug of some kind, I munched the plastic draincock on my friend's steep driveway and puked coolant everywhere, as the extra low radiator is the first point of contact at the front of the car. I used a cut down bolt and rubber seal to get me home, and never bothered to replace it.
Interestingly enough my drain plug is in a different location than yours, it is on the drivers side not centrally located.