You can find more info than you care to in our Tires
There are basically four choices that are weight-rated for the LT.
Bridgestone BT020 Radials
Great handling, great traction wet or dry, shorter life, a small percentage have developed bubbles, especially towards the end of their useful life.
Bridgestone BT020 Bias
Good handling, good traction wet or dry, medium life.
Metzeler ME880 Bias
Decent handling, decent dry traction but lower wet traction, long life. Some ME880s have also been prone to tire failures, but very few.
Avon AV45 & AV46
Great handling, great traction wet or dry, medium life, the rears are soft and thus wobbly for the first few hundred miles.
There are also some Dunlops that fit, but have poor mileage and handling, and sometimes rub the swingarm.
I like the Avon front and BT020 rear for great handling and traction with decent mileage, that combo makes the LT turn in quicker and feel a lot lighter. I have also been happy with the BT020 Bias as the best overall compromise on all counts. I can't stand the ME880s (LT feels sluggish and they slip in the wet) or Avon rears (too wobbly until they settle in), others may feel different.
It all depends on how you ride, and what your priorities are.