Attachment Therapy/ Nap Hurdles in School?

I worked at a daycare through college and (at least in my state) it is LAW that children need to lay and rest quietly for one hour. On top of that, like you said, that's lunch break for teachers and the ratios really don't allow them to alter that break. I think taking away outdoor play is akin to shooting themselves in the foot though. I'd think a positive behavioral chart (where she earns rather than loses) may work. Something concrete and tangible with short time frames at first (1 sticker for every 2 quite minutes, after 10 stickers she earns X). I'm not a big fan of this kind of system ("bribing kids") but sometimes use it just to set up the expectation and so that the child knows that I KNOW they can actually do it.