That tire is the same diameter as my stock size 275/70R18. Unless you have a lift your truck wouldn't be any higher or probably even as high as my stock Ram. Trucks have gotten taller over the years. I did have to do an axle flip on my fifth wheel but now it sits level and tows great. As long as your load rating is sufficient and you can run the trailer level I wouldn't bother changing the tires.
My favorite brands for truck tires are Cooper and Toyo, although I'm running a set of BFG AT/KO2s right now and I really like the way the perform and they look sharp too. The treadwear may not be the best but time will tell, and I got a great deal on them so I'm not too worried about it. Had I not found the deal I found I probably would have gone with a set of Cooper ST Maxx.