Power adapters are the bane to concealment. No matter how thorough you plan, you'll always be confronted with a thicker "wall wart."
Where will you place the Mini Box...near the TV on a shelf?
Who made the TV mount?
You'll need to check the manufacturer's website for a shelf designed for wire management. Not just wire management but wire management designed to easily manage wires. For example, would I need to remove everything from the shelf to access its power strip?
There are basically 2 schools-of-thought: conceal all coiled wires near the TV or conceal all uncoiled wires to/from the TV. Sometimes the coiled option only works with ceiling mounts.