72 hour transit Visa for Touring Beijing.

We have USA Passport arriving via AirChina in PEK 10:30 PM Feb 28 and departing Via Qatar Air 1 AM on Mar 3 to return to USA same city as Departure on Qatar airline (we are required to be checked in by 10:30 PM on Mar 2, 2016. Our tickets are confirmed, and we check out of our Beijing Hotel on Mar 2nd. All arrangements for Hotel and touring are confirmed. No USA travel agent seems to be able to answer if this meets 72 hour free transit requirements. Your Website seems that we are within required times.