Order tire size 265/75R18 and you will have the proper size tire for that rim, which is what I made sure I ordered on mine (to get maximum cargo capacity for my 1500 EcoDT).
Hey, You can have my tires if you want, they have maybe another 10,000 miles in them, and are sitting under my porch. Otherwise I think I will chop up them up and use them as dock bumpers.
Have you checked what kind of spare Ram stuck you with? You might want to take a look.... cause once you see what's back there you might want 5 of those rims and a 5th tire for a real spare. My "full size spare tire on a steel rim" turned out to be a low profile donut on a 20 inch, narrow rim. It has hardly any tread, good for about 50 miles... maybe. Lord help you if you have to use that spare in bad weather or offroad, as I did in Great Bend National Park. I was lucky, I didn't have to use the spare until we were within 100 yards of being back on the paved highway thru the park.
And after riding on good regular profile truck tires you may not go back. The ride is better on rough pavement and so is the grip. Low profile tires on a truck... Really folks?