I think I responded to you from the in-app feedback, but just in case you see this first... Are you on a MotoG3?
A number of other people using that device have reported this same problem. Our engineers are working on resolving the issue and will hopefully have a beta version of the app available soon.
I'll post as soon as that's available. I'm sorry for the trouble
Our engineers have released a beta build of Draw for Android that they believe resolves this issue and we've made it available on our Adobe Android Apps community on G+ (https://plus.google.com/communities/115649485021140879434).
Refer to this post (https://plus.google.com/101146399386092670308/posts/S9h8pV7iME1) for information about how to access the Draw beta.
Please let me know if it doesn't fix the problem you were seeing.