I called goodyear after three of their new trailer tires blew up on my trailer in one season. They gave me a song and dance about how trailer tires are not wear but time sensitive, when I told them it was three days after I left the tire shop when the first one blew, he said I most likely got a set that had been sitting in a warehouse too long, so he told me to always check the date of manufacture. I went to 16 inch 8 ply Light Truck tires and never had a blow out again. Just my experience. Several of my buddies did the same with the same results. I don't think the brand is all that important, just ask your dealer what he sells the most of and has good luck with.
An LT will work fine, just know to take 11% off the load rating due to flexing of the sidewall. No idea what Johnny law will say about this. I do know some shops won’t mount them if you take the trailer to their place.