Where is your temperature probe for the heat mat? From what it looks like to me the hot side probe is on the side, do you have one under the substrate where the heat mat actually is? I'm a bit worried you're not measuring the glass over the heat mat, which if you don't have a thermostat (You can get starter ones like JumpStart until you can afford a better one) could be a lot hotter than you think. Correct me if I'm wrong!

On the topic of the half-log hide, I bought one for my first beep as well. I didn't have a problem, but one side was blocked up. Also I can't tell if you have paper on the sides of the tank? That will help your Beep feel more secure (which as he's eating, dosen't seem like a problem to me!)