Thanks for posting! Since games are generally more demanding than apps, you’d normally want the most powerful hardware you can get. Among those 4 devices that you listed, Fire Max 11 is the most capable, so I would recommend getting that.
If you can also get a few other devices in addition to the above, then go for one with 8 inch screen and one with 10 inch screen – specifically the Fire HD 8 (2024) but choose the 4GB version (not 3GB), and also the Fire HD 10 (2023). This way you will be able to test your game on different form factors to see how it renders on different screen sizes.
I hope that helps, and we are looking forward to seeing your games on Appstore!