Just for the next guy with the same question: I'm using the setting "HP Matte Presentation Paper." This particular HP doesn't have the ability to load from the back, but the curve is gentle and the cardstock comes out flat and looks like it's laser printed. I loaded and printed one page at a time and I had to nudge the cardstock in so the printer could grab it.
When printing from Google Chrome, I had issues with offset. Basically it was not printing some of the left side of the page, like it was outside of the margin or something. The printer driver does not have any options that would fix it.
I downloaded Adobe Acrobat Reader DC (make sure you get it from the official site) and was able to print at 100% scale, centered on the page.
On a side note, I picked up some Adams Readi-Board at DollarTree today. I've got plans for an airplane printed on cardstock. I've got the tools, but no skill or experience... Let the carnage begin!