My '54 sits pretty near stock height. See photo in my signature. Don't know if '54 frame height was different to earlier AD trucks. My truck was built with RPO 282M 6.50X16 tires + Heavy Rear Spring. These measurements are with a half tank of gas and about 100# in bed.
< CLICK >My truck leans a little toward the driver's side. Center of hub to bottom edge of fender opening:
LF = 17-1/2"
LR = 18"
RF = 18"
RR = 18-1/2"
Here are the specs for your 1951 But I don't know if I'm smart enough to figure out the body height.