An ST tire is probably not stronger then a LT tire.
They only are calculated in their maximum load for more deflection allowed.
Small difference is that ST has lesser profile depth so a bit less isolation of the treath, so a bit better cooling, but marginal to my opinion.
And because most Trailers have tires that have yust enaugh maximum load to carry the GAWR's , you will have to keep them at AT pressure given on sidewall or belonging to loadkind ( D-load =AT65 psi).
But most tire-makers allow 10 psi above AT-pressure and also the valves can stand that cold pressure. Highening up of pressure by temperature rising in tire is taken into account by the tire-makers.
So general rule is that its better to give the tires that 10 psi extra, to give them the same deflection so heatproduction , an LT tire would have, wich is better for savety of tire and fuel saving.
So even when Topicstarters real weight is 2000 lbs below GVWR, the AT pressure ( wich is not the maximum cold pressure) wont give bumping, and more reserve for things like , pressure loss in time, misreadings of pressure , misyudging of loads on seperate tires, etc etc.
And I once read that the tires are tested to can stand 2 to 3 times the AT pressure so when warm 2 times 65 psi in your case =130 psi at least . Test standards use that .
So dont be affraid of the high pressure , tires and valves are tested to can stand that , even the higher pressure at higher inside tire temperature up to 212 degr F so boiling point of water.