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did you think about using a dwalt battery to power it. those boards handle 18v power source. Also you mount your amp board in a way that you could extend the board switches through the wall of the box, I did a simular project and just used bullet head nails cut down to make the button extensions.
very cool project by the way. nice detail with the speaker rings and box text
Bluetooth speaker Ryobi bat...View Instructable »
I've built something simular. the same amp as your setup. rear speakers from a surround sound system I got from a hard rubbish pickup. and I used the battery from my Ryobi drill.
I made a simular unit. but it uses my ryobi one drill battery as a power source
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