Just keep in mind he'll outgrow that ten gallon before you know it. You might want to pick up a full size terrarium while you're there so you'll have it on hand when you need to upgrade. Honestly I would leave the snake at home. The trip to the store and back might stress him out even more. Try to bring the mouse, they may exchange it for a rat pinky.
To my knowledge, there aren't any self regulation heat pads. They do have some that have max temps, but I wouldn't trust them. Stop by a hydroponics shop if you can find one, that's where we got our hydrofarm thermostat.
What time of day do you feed? I always feed my balls around 10 pm, they're usually super active and ready for food. The only time I have refusals is when someone's shedding. My little hatchling girl even eats WHILE shedding(I stupidly thawed a mouse before checking on her, totally didn't realize she was in shed lol)
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