Are you looking for more mud tires??
You mention a ST225/75-15 tire which are a highway tread.
Your LT235/75-15 C tires show a 1985 lb rating = 7940 lbs of capacity which is plenty of tire for 3500 lb axles and your trailer.
I use the Goodyear Wrangler HT in a LT215/75-15 D (65 psi) at 2085 lb capacity on one of my small car haulers with tandem 3500 lb axles. There tires are good for any speed I need. They have around 28k miles and are going on 6 years old so lots of trouble free service left.
The Goodyear Wrangler LT235/75-15 C at 1985 lbs would be another excellent replacement tire. Most all usa tire makers carry this size/load range.
I wouldn't replace a LT tire with any brand ST tire. Too big of a drop in reliability and long term service.
"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