Sorry I was working and trying to answer you at the same time.
I didn't know the factory backspacing
If 5.5 is correct and you switch to 4.25 instead of the usual 4.5 that would bring the tire in closer to the frame a 1/4", probably still rub with the 13.5 tires.
Also every Hummer is a little different some rub more than others with the 37 x 12.5 tire and 4.5 spacing. 4.25 would help that.
I guess you just have to go to the tire store and test fit...
Good Luck
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