I would try to get the same height tires as replacements; that way you won't have any handling, braking, or acceleration issues. It can vary a little bit and you won't see much difference. Any good tire store can help you sort this out, because they will have a chart that shows everything.
I had E-range tires on my truck for the last five years (got rid of them four months ago) and can give you some comparisons:
Pros:
You'll have sharper steering response, and a more 'sports car' ride. You'll never have to worry about overloading the tires because they'll be up to anything you can put on them. You'll have way more positive feel and much greater confidence when towing a trailer.
Cons:
You'll have a harder ride. You'll have to work a bit figure out your proper tire pressure because if they are overinflated, they'll be squirrely. Your stopping distance may be increased on wet or frosty pavement because the tread area is harder and less conformant to the road. You may notice a decrease in gas mileage due to the tread pattern in your particular tires.
That said, I finally swapped out the E-range tires for D-range, and feel it's been a good compromise between the grip, carrying capacity, sidewall stiffness, ride noise, and fuel mileage.
Initially I had to get E-range tires because that's all I could find at a reasonable price. When I first went to buy tires (in 2006), proper truck rubber was $1600. So I had my local tire store watch out for a used set for me, and I scored...!! A guy with a brand-new F350 felt that $55,000 just wasn't enough to spend on his truck, so he came in for a new set of wheels and tires. That set of tires had been driven exactly two blocks - right from the Ford store.