Alas, they may hate each other but sometimes cats and dogs DO play together, when the money is right. The Amazon Music app is available on iOS, MacOS, Android (google), and Windows 10, with different capabilities for each. The problem with streaming from most of the Amazon gadgets is that they won't pass the full resolution stream. For example, the Fire Stick 4K will only play streams at 16/44. I have a new Fire Tablet HD 8 and it shows (variously) either 16/44 or (sometimes) 24/48.
Other devices I've tried are iPhone, iPad, Android phone, Apple TV, Windows 10 laptop, MacBook Air, MacBook Pro. AMHD will run on the iOS devices but I haven't obtained an OTG cable for them yet, and don't want to devote one of my Apple device for streaming duty. Among all of the devices I've run the app on, the only devices that I've tried that run the HD version of the app, and are capable of passing the largest 24/192 files to the external DAC, are Windows 10 and MacBook laptops.
So, I've resigned myself to finding a Windows 10 laptop on the cheap that would become a single-purpose machine to be used for streaming AMHD. However, until recently the Amazon Music app was available in the Chrome Store, from what I've read, and Chromebooks can be found for very little money. Hence, the question I posed. My Android phone will pass AMHD files, through the Android app, but at 24/48. I was hopeful that a chromebook might be a useful solution.
In the end, I want to spend as little $$$ as possible to acquire a single-purpose streaming device that will (1) run AMHD and will (2) pass the full resolution streams available to my external DAC. Simple, you think, but it's not as simple as one might wish.