the underlying answer will be your transmission. The auto tranny will be "livable". The 6spd... 6th gear will be very very limited. Both will be capable to turn those tires, however i don't recommend either or offroad.
i have a 6spd 2012 w/ 285/70/17's and its a great dd and i'm able to use 6th gear when i'm on the freeway. Offroad.... its pretty lousy during hill climbs and rocks, but it does the job.