Your problem is the offset. Factory wheels have a 31mm offset. Your wheels are sitting 12mm further out, which is almost a half inch. You'd need tires about an inch narrower (half inch on inner and outer shoulder). The narrower tread width and smaller aspect ratio should yield significantly more clearance. But, if you're not lowered, them rubber bands will look kinda goofy with the large fender gap. You really should get wheels that fit like they're supposed to. 19mm offset is more appropriate for lifted trucks.
But, if you wanna run 'em, then, yes, the 264/40 should really help. It might not totally eliminate your rubbing, but the rubbing mught only happen with the steering wheel cranked at the end of its travel. So, it shouldn't be much of a problem, anyway.
Also, the drastic change in tire size will make the speedometer read fast and "add" mileage to your truck-
Reading: 20mph 30mph 40mph 50mph 60mph 70mph 80mph 90mph
Actual: 18.9 28.3 37.8 47.2 56.6 66.1 75.5 85