Like @strayce@lemmy.sdf.org my handheld supports an eGPU and can run bazzite. However it's another mainstream unit. Personally, I got my handheld to be a hand held to play around the house using its built in screen. The onboard graphics have been more than capable, although I'll admit that I play slightly older games.
If you're looking for a less mobile setup and/or are more budget conscious, a used PC is probably going to be way better bang for your buck than a hand held with an eGPU. My gaming PC still packs a (used) 1070ti and shrugs off most games at 1440. Sure, I can't max graphics in everything but with moderate settings I can still have very solid and stable FPS.