P255/65R17 I found with google in Loadindex 108 and when putting XL behind it in 114.
So my suspicion was right , that you have P-tires with AT pressure of 35 psi if Standard load LI 108 /1000kg/2205 lbs , and AT 41 psi if XL/reinforced/Extraload LI 114/1180kg/2600 lbs.
so look on sidewall wich one it is,P says Americansystem, Eurometric tires have 1 psi higher AT-pressure, and mostly 1 Li step higher , but are in fact the same tire so can carry same weight at same pressure.
So the 51 psi you thougt was the pressure you needed to determine the loadcapacity, is in fact the maximum cold pressure the tiremaker allows.
So check the tires to see what they are exactly , and try to determine the weights on the seperate tires , second best axles.
Also give speed you use and wont go over for even a minute for the situation ( so when towing lower speed), And the speedcode of tire ( Q,R,S,T,H,V,W,Y) , then I can give a range in pressure advice with lowest no damage to tires , and highest pressure, still acceptable commfort and gripp.