[EXPERIMENTING WITH RECHARGEABLE BATTERY OPTIONS FOR SURVIVING A LONG TERM POWER OUTAGE WITH ATARI LYNX]

I guess it depends on your scenario.  My first thought was a small solar panel kit that charges up batteries.  The second thought was that the Lynx eats batteries.  So, would probably emulate the Lynx on something more versatile like the Dingoo 320 or PSP - both of which have TV out for projector use.

[2016 Atari VCS/2600 homebrews as of 9/11/16]

previewed at 2015 Houston ArcadeExpo - Conjoined, Laughing Boy - Jason Schelhorn/Hozer VG

 

Whoa, whoa whoa!  Hozer VG is *not* publishing my games guys.  Who gave you that info?