With that GVWR you could possibly go with "E" rated LT tires, but that won't give you much wiggle room: 3045lbs.x4= 12180 lbs. Since weight isn't usually perfectly divided, you could be overweight by a bit on a tire or two.
Personally if it were my trailer, and the wheels are rated to 110 psi, I would go with "G" rated LT/ST tires. That give you a lot of carrying capacity, more than you really need, but better to have more than to need more.