As an enterprise app there's nothing extra you can do except that you can use whatever background modes you want (audio, location, voip etc,) without needing to have a legitimate reason to do so.
Where this might assist is:
you could make use of a significant location change (as opposed to a regular location change) notification to run your app in the background. The problem with this is it of course depends on the user of your app to move around. However, assuming everybody in your workforce commutes to/from work with their iPhone then you would have two opportunities each day for the app to run in the background. A app run due to a location change can be made to execute in the background for more than 30 seconds.
voip pushes: Unlike a regular push notification, a voip push will launch the app even if the user has force terminated it. To make use of this functionality is only a tiny bit more effort than using regular push, you don't have to do anything regarding making or receiving an actual voip call, you just need the voip capability and voip certificates instead of normal push certificates.
The comment in that link is not correct regarding force quitting and background fetch - a user force quitting an app does not make it ineligible to run for a background fetch, I have force quit my own app that uses background fetch but it will still be started by the OS, however what will happen is that the frequency when the app is run will decrease lots, and if the user never runs the app again then the OS will stop launching it.
A user force quitting an app will prevent other things from happening, such as it running in the background in response to a silent push notification for example (unless its a voip push).
Also the 30 seconds in not related to download times, NSURLConnection would stop after 30 seconds, NSURLSession is designed to continue to download on your app's behalf. But if you are downloading and then applying lengthy SQL processing it would be an issue. But minutes of processing time seems excessive, are you sure its all optimized?