Is there any danger in leaving a class D amp on unattended for ten days?

I leave mine on 24/7 they sound better this way! :)

However, when I travel I turn everything I can off. Not only is it better for the environment, and less risk of a fire, but less chance they can be damaged in a power surge.

I agree that the fire risk is real enough to be concerned, and so is the damage to the environment. I have invested enough in energy saving and solar panels not to blow that with wasting energy on audio gear, even if it is relatively efficient Class D stuff as in your case.
I don’t believe my electronics sound better if I leave them on. That would be bad design.

Thanks.

Off they’ll go!