"I know nothing about Samson tires but to me you are WAY overtired. My trailer has a GVRW of ~12,500 and uses the ST 16" "E" tires which are rated at 3500lb ea @ 80 PSI. I have 14k of tire capacity sitting on 10.4k of axle capacity (2 x 5200) with about 9k (guessing, new trailer, not weighed yet) of trailer on the axles/tires (rest on the hitch but not loaded to max). I think I have more tire than I need but am comfortable with it. Would I need to go to and "F" or "G" rated tire, not hardly.
Even 4 "E" LT tires @ 3k = 12k of tires on 10.4k of axle.
Look at the BIG picture, not just the tires....""
My big picture is that I need the extra ply's for off road conditions and not the weight. We basically only boondock off road and a lot of the roads are quite rocky. The Mogollon Rim here in AZ just eats tires!!