My point is that whether you pick an LT tire or an ST tire may be the lesser issue. There needs to be a significant margin between static load and tire load rating to stay safe when towing. Manufacturer's recommendations don't achieve this on the trailers that I've examined. Whether LT or ST, you need to go up a couple of notches in load rating from the factory installed tires to make sure they're not overloaded when underway.
Other parts of the suspension are also at risk, but this can be discussed some other day.