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People do it all the time. Is it safe? Depends on who you talk to and how you use your truck. In your case because you are not towing or hauling stuff it should not be an issue. The other thing to consider is that some "D" rated tires have the same load range as the SD's "E" rated tires so then it wouldn't be an issue at all.
> Can I SAFELY run a load range D tire instead of a E??
Yes, a D is usually rated for 3K. So 3k x 4 tires = 12,000 GVW rating. More then enough for an empty truck or one not towing, especially a gas truck as you probably only weight about 7,500 pounds.. Plus, you might get slightly better gas mileage too.