I've went with a D or E tires on a couple of 1/2 ton trucks....but always went back to P tires mainly because of higher costs and loss of mpgs. I never saw any better tow/hauling/handling advantages over the OEM P tires with a 44 psi or 51 psi ratings.
Now years ago passenger tires were rated up to 32 psi so a LT C was a good choice.
I use the wifes '16 1500 chevy 4wd crew cab short bed pulling a 10k car hauler (8820-9460 lbs on the trailers axles) with blue tractor/loader/BB with a cab.... 11' 10" tall. No issues at all with the 17" OEM P tires 31.2" diameter at 44 psi even in 35-38 mph side winds.