Check out the enTourage eDGe. I'm not 100% certain it will work for your gaming, and the price will depend on where you buy it (also the company is in some trouble), BUT you get 2 screens interconnected, one eink and one Android LCD. The power use is probably similar to the iPad (I leave mine plugged in whenever possible). It was originally designed with students in mind. Good for annotating as well as reading pdfs.
Check the posts in this forum to learn more:
https://www.mobileread.com/forums/forumdisplay.php?f=218