I checked the door tag this evening and yep, that's where they got the 70psi to set the tires at. So on a cool day and 30 mile trip they all gained 10psi from heat. I found the scale sheet and I was at 13,100 on the drive axle and 5980 on the steer. GVWR is 13,500 & 7,000 so like I remembered it was pretty heavy and I didn't have a ton of room to wiggle on the back side.
I'm going to use this chart (page 45) for my settings going forward.
https://www.goodyeartrucktires.com/pdf/resources/publications/2010_loadinflation.pdf
Thanks again everyone!