Well, it seems I misjudged my premium refurbished console. The TV I was using on my trip had a box hooked up to it for the internet and routing HDMI connections, and it appears that that was the issue with the screen tearing. I've been using the back-up system on my TCL and zero problems.
I'd still keep an eye on it, and lean on the side of returning it during the window of opportunity. I've been having weird things happen that I've been making excuses for on one of my old classic 360's for a while now. It did have a good run though, but I've finally ordered a cheap S model to replace it.