Best way to book a block of rooms

I’m looking to book a block of 10 to 12 rooms for my daughter’s soccer team. She will have about 15 games in San Antonio, Texas. That is a 4 Hour drive for the team.. I am thinking of submitting their game schedule to a couple of different hotels to see what kind of price they can give me. I want to request that they mirror my reservations to their game schedule. Any tips of how I can get them to give me the best rate possible since we will be returning 15 more times between now and the spring? Any help is greatly appreciated.