You will be fine. IT is good to do that. Run one higher load range, but at the same pressure.
ie, if your load range F oem tires called for 100#, go to G's, and run 100#. You get a tire with a little tougher carcass, better able to withstand punctures and road debris damage. Usually just a couple dollars more.
I do that on my semi. ON the steer, I run one range higher. Those tires are close to their max rating, so it gives a little extra cushion. I keep the same range on the drives, because those are not loaded near as close to their max rating.