Goodyear does not make an ST tire that requires 55psi. Only 50, 65 and 80psi. Apparently you have some odd ball GY tire that's not rated for trailer use. JMO but I would get rid if the current tires on the 5er and go with something that supports the loaded weight of your 5er. An 11,500lb dry weight 5er will be pushing 13,000 all loaded up. Goodyear doesn't make any ST tire that supports 13,000lbs total on all four tires.
Even subtracting 20% for pin you'd have 10,400lbs on the axles.
Four 225/75/15 D rated tires =10,160lbs.
There are no 225/75/15" GY E rated tires.
Maxxis makes an E rated 225/75/15" tire that gives 11,320lbs total @80psi.
I would seriously think about moving up to a good E rated 16" tire. Run 80psi.
Have you looked on the tires sidewall for max load at ??psi ?
Sounds like your manual and 5er tires aren't on the same page.
Also 55 psi is too low regardless of what tire you're using.
What model 5er do you have?