The OE Goodyear on my Durango is a 265-70-16. It specs at 10.2" section width and 30.7" tall.
The 31-10.5-15 you're looking at specs at 10.5" section width and 31" tall.
I wouldn't expect any rubbing from that change.
That tire looks like the old Firehawk RMT I bought for my dually.
They wore pretty well and had excellent traction, but IMO, after about half tread was worn off, they got really slick in the rain. (Nothing more fun than hanging the rear of a 159" wheelbase 4x4 out like a drift car.

) I'm looking at a set of Bridgestone Dueler A/T Revo's when these factory shoes on the Durango wear out.