Northern lights? Then go for the 11-16, it's a no brainer. The extra stop or two will make a fair difference. You don't really need to worry about the DoF in shots like that as the foreground will still be in focus even a few feet away when focused at infinity.
DoF calculator suggests at 16mm and f/2.8 you will get everything in focus from 8ft to infinity... (Just for clarity).
The only negative for the 11-16 is the zoom range. It's almost disingenuous to call it a zoom, but that's the trade off you make for the fast glass.