I'm also currently just running the standard load Kumho SL21 225/75R15 tires. As long as we don't load anything in the back of the wagon we should be within the limits when towing at max pressure. I think each tire is rated for about 1800 lbs, so 3600 lbs total. The wagon alone is 2200 lbs in the rear, that gives me 1400 lbs reserve. Our tongue weight is 800 lbs, 300 for us, we're still 300 lbs under.
But I hope to upgrade to a 17 or 18" wheel with an XL tire at some point, when I find a decent set.