I had a similar issue witht he Baton Rouge RI last year. When I spoke with the GM and told him how many nights (3 people x 4 nights per week X 8 - 12 weeks) he quickly set up a special rate code for us. Tell the GM you are ready to book those nights now. That way the nights show up in his/her book that is presented to corp.
He/she may work with you on the rate.
Regards,
RIP...