The idea of using LT tires can work provided that they have enough load capacity for it to work for you. The issue is this:
most 225/75-15 tires are standard load and limited to approx 1850 lbs which is like 1000 lbs less than a good E load range trailer tire in the same size
if you go up to an LT 235/75-15 you can find Load Range E tires and then you are close, 2755 lbs @ 80psi, but there are only a few.
this is why some say if you want to go to LT tires, you need to go to a 16" rim, which as far as I know, requires a 6 lug hub as well. this will give you a far greater choice of tires, but adds a lot of cost, because if you have a 3500 lb axle, you will have to upgrade it to one that will take 6 lug hubs which is a 5200 lb and up capacity axle. Once you get into the 5200, 6000 and 7000 lb axles, you have more choices. The big difference is the outer bearings and hubs, the inner bearings for all 3 are the same. The 6000 axle uses a bigger outer bearing than the 5200, still with a 6 lug hub, and the 7000 uses a bigger one than the 6000 (and uses 8 lug hubs) The axles themselves are all use the same #42 spindle.
But again that cost (450 or so for a good galvanized axle, plus bigger hubs, brakes, wheels and tires, really adds up). I did this on my single axle, the axle was $445, 12" brakes approx $500, and rims, about $75 each (had to buy 3 with one for a spare). I already had 3 good 15" Load Range D tires , but will upgrade them to E when the time comes.
So it really depends on if your trailer has plenty of safety margin with 15" tires, or not. For me it is fine with Load Range D 15" tires but if I were trailering long distances I'd get Load Range E for sure.