There is a video of Dave Feldberg saying you can move things IN FRONT of your stance too if it present a hazard. I don't have the link but I am relying on the DGCR faithful to post it.
That being said, I think the "common knowledge" of the rules is that you can only move something if it is in or extends into your lie. So you can remove a branch in front of you if part of it extends through your lie.
Now that I reread the OP, I think he/she might actually mean behind the mini. In which case I think you can dig for oil if you want (hyperbole).