I see in another thread you have a 35' Cedar Creek so I'm guessing the trailer has 7k axle which fit your 16" ST E tires 3500 lb capacity. I wouldn't put a ST tire back on a trailer that size.
I would upgrade with the Goodyear LT235/85-16 G614 G load range at 3750 lbs capacity .....
...or the Sailun LT235/85-16 G at 3750 lbs. The Sailuns have became very popular with heavy trailer owners of all types.
Many folks with heavy 14k-15k GVWR trailers upgrade to 17.5" wheels and commercial grade LT f or G tires. All depending room in your trailer wheel well.
"good judgment comes from experience, and a lot of that comes from bad judgment" ............ Will Rogers
'03 2500 QC Dodge/Cummins HO 3.73 6 speed manual Jacobs Westach
'97 Park Avanue 28' 5er 11200 two slides