I go offroading a LOT and have had no rub even fully flexed.
Logans fears are unfounded for a H3, counter to popular belief the H3 is very different from the Canyon/Colorado.
The H3 is actually made up of mostly 1/2 ton equivilent parts.
If you want bigger tires, upgrade BOTH the wheels and tires as a unit.
Use the standard upsize formula to increase the wheel/tire combo by two inches only.