There is one way of getting device orientation by using Crittercism's Breadcrumbs, together with a call to display.getRotation().
This is a bit limited since you have to know approximately when in your code you would like to know the orientation, but it might help if you're narrowing down what triggers a bug, e.g. during development.
It looks like this information is actually already available in all crittercism crash reports:
- Select the crash report you're interested in.
- Go to the Diagnostics tab
- Here you can find a breakdown of when that crash occurred under different conditions. Orientation is one of the conditions. There is also status bar orientation, along with a bunch of other info.