I honestly think that’s a great choice. Wish there were more options of 35x11.5 and 37x11.5.Do you have to switch to a Tundra shock? I didn’t know that was required for the LC guys. I kept my LX AHC shocks and am still happy.
And have you considered the 37x11.5r17 Nitto Recon Grappler? Possibly that narrower tire might give you a little more clearance, w/o sticking out too far.