This app was mentioned in 3 comments, with an average of 1.67 upvotes
I was in a similar situation recently and found a good alternative if all you need is Exchange/ActiveSync support. My employer uses Maas360 MDM to detect root, and they require that you install it if you want to sync with the organization's Exchange server.
I wasn't willing to give up root, but I also didn't want to risk getting caught using RootCloak. Instead, I use this app, which just checks OWA every 30 minutes and doesn't store any messages locally.
This isn't a true solution and might not help your situation, but I figured I would let you know just in case. If you do use that app, go into the settings and change the font to the smaller option. It's an ugly app, but that helps somewhat.
I probably wasn't clear; this is a personal device, work has a byod policy but requires various security precautions if you want to access email via an email client. I decided to use https://play.google.com/store/apps/details?id=com.wwongdev.outlookwebmobile that another poster mentioned, and it works great for what I need, and no longer need mobileiron at all!