If you goal is to hunt them, I'd suggest doing limited releases either the day you plan to hunt them, or the evening before. Releasing the birds in August and expecting them to be there in October would be pretty iffy, but the coyotes would be happy. I'd read up on release techniques, if I were you, as there is more to it than just opening the cage and expecting them to be there a few weeks or months down the line.
My father-in-law regularly raised pheasant for 5 years, planted then on properties around our area. We see a few, and hear the odd bird now and then, but we certainly didn't see an established breeding population.