I already booked a hotel room directly with a hotel but the rate is really high. How do I get the SXSW group rate applied to my room?

SXSW Housing and the hotel are unable to change the room rate for reservations booked directly with the hotel.  SXSW Housing contracts a specific number of rooms at our low conference rate and only rooms already in our block and booked through SXSW Housing can receive the SXSW rate.