I know you could send a drawing from draw to illustrator cc and save a large resolution image from there, but if there's another way, I would not need to send it to illustrator. It would be more convenient to save a large resolution image directly from the phone.
Although it's an often requested feature, there is currently no way to export a hi-res file directly from Draw. (We did, however, just add PDF export to Comp CC, so I'm hoping the feature will make it to our other apps.)
And, in the current version, you can export as PDF to your CreativeCloud library!