Hey guys! My first post so go easy ln me

Ive got a 2009 FX4 5.4l SCrew, and I am looking to get some new wheels and tires. I currently have the 20" stock wheels Plastidipped, and these 275/55/r20Michelin Tires.
I really like these michelins, but they are reaching the end of their life cycle. I am unsure of what tires and what size to get. I am planning on getting these procomp wheels.

Some of my research is leading me to the Nitto Grapplers g2 in 265/60/r20. I have had a couple of friends reccomend this tire to me.
Should I run into any trouble for this tire? Could I go any larger with them? My truck is on stock suspension and I have no want to lift/level as I do a lot of highway driving primarily for my job.

Obligatory pic of my truck