Think we all understand how the intellibeam works. The problem is the system turning itself on and off without pushing the button at random times. Mine does the same, when it turns itself off no amount of pushing the button turns it on.
I just picked up a set of new Toyo AT3s 295/65r20, $1300. I did a lot of searching on the FB groups and saw a lot of members running this size with no rubbing issues. I'm not worried seeing as the stock tires are already just over 34". Haven't put them on yet, as I still have life in the current set, but that deal was too good to pass up.