From speaking with people at my school, it seems that scores have been reported to our registrar's office on the 4th Wednesday after the exam. I took Step 2 CK on 7/13 (wednesday) and my school received it on 8/3. So if you count the test date as the first wednesday, my school received it on the fourth wed. My classmate who took it on 7/21 had hers reported on 8/17 and those that took it on 7/28 and 7/30 had theirs reported on 8/24. The hard copy typically comes in the mail 5-7 days after it is reported to your school. My steo 2 CS grade was also reported 4 Wed. after I took it.
So I would suspect that the school would receive yours on 9/7 and should come to your home around 9/12-9/14.
