lol I think he means PMPs that are huge. About the only 'portable' player you could use with a DAC would be an Android tablet using an OTG cable or an iPad with the camera connection kit. Even then, the DAC can't draw too much power or it won't work.
About the only consumer players I know of that have LODs would be Sony Walkmans, Sansa Fuze (+) (or View which has long been discontinued), Zune, and iPod.
btw, @all thumbs, why is it that you don't want an iPod? I'm just wondering because if it's iTunes you don't like, just google "iTunes alternatives" and some should come up. I used Sharepod once and quite liked it, although I only used it to import songs from my iPod, but I'm pretty sure you can sync with it as well.
SOny Walkmans? You mean the ones that play CD?