Temporarily, on your next trip move 100 lbs from the front storage area to the rear of the trailer and see if it makes any difference in the tire temperature. That should provide evidence of whether it is weight related or not. Just need to be aware that you need to keep the tongue weight to at least 10% of the GVW.
Also, whether or not you travel with any water in the tanks can make a difference in the load on the tires depending on where the tanks are located in relation to the tires.
Similarly, you can also change your tongue weight depending on wether or not you have water in the tanks and where the tanks are located in relation to the trailer axles.