Big Horn web show your 3260 EL shoulds have 7k axles which means a 3500 lb tire at a minimum.
The LT E doesn't have but 3042 lb capacity and simply won't work on a 7k axle. And I sure wouldn't put any brand ST tire back on a trailer that size.
Options can be a Goodyear G614 RST LT235/85-16 G...
or the commercial grade all steel ply carcass Sailun S637 in a ST or LT 235/85-16 G.
Both tires are rated at 3750 lb capacity at 110 psi.
And some folks move on up to the 17.5" wheels and commercial grade LT tires.