I have bought a battery pack for my 2nd generation Alexa dot, so it can come in to the bathroom with me now of a morning when I am listening to the news or catching up with the day's Decameron story.
I think it is best that you take my word for the fact that it is working well. I would prefer it if you didn't come in to check while I am about my ablutions.
It also strike me that I should be able to take it out into the garden. The Wi-Fi should reach.