OP, 2200lbs is 2200lbs load rating however you slice it.
You have new tires so now you can finish your trip in peace. Worry about it when you get home.
If you looked up trailer tires for sale, you’d find you can get your size in “75 psi” tires if you wish. And if you get all new tires, consider 215s. They have a few more options.
There is also an (old) recommendation been around since the Goodyear marathon blowout days that says fill your light duty trailer tires 10psi above max stated pressure for max load/speed. Maybe some mfgs have adopted that “officially” since the 65 and 75psi tires seem to have the same load and speed rating….just a thought.
