If you bought it locally, the dealer will probably send it back for you.
I bought mine at a Wal-Mart 50 miles away. Didn't want to drive back, and didn't really trust them anyway, so I called the local Gander Mountain and asked if they had a box they could sell me.
They put me on with a guy in receiving who said he couldn't sell me the box they use, but he had a couple of outer boxes they had received rifles in would give me. I'm guessing most any gun dealer would do this. These were plain brown boxes, which is ideal. I think Ruger says not to say anywhere on the box that it contains a gun. At that point, the ideal would have been to put the Mini back in it's original box and put that in the plain cardboard box.
I couldn't do that because the Mini box was pretty well shredded when I got it, so I cut some heavy cardboard and folded it into inserts to reinforce the shipping box. Then I just wrapped the Mini with a lot of bubble wrap and stuck it in the box along with an explanation and the 5 round magazine (NO AMMUNITION). Taped it all up really well, taped the label on, and carted it off to UPS.
It took about three days to get there, and about three more before they got it to a technician. Another three days for the technician, and they are supposed to be shipping it back tomorrow.
By the way, my problem was the same as yours only opposite (sight all the way to the left, still shooting right). Don't know yet what they actually did.