LS lists a 36" bucket for the 1100 BH, and the 35HP tractor with FEL and BH is at least 4500 lbs so should handle this bucket.
I dig and lift rocks 300LB + and lift logs - 7-800lbs to cut them up and or carry them with my little TLB BH without issue. It weighs 4000Lb with digging bucket force of 3500Lbs.