ZD:
For you to have a tayna, you would need to know that the same organization is advertising that the actual chickens are going to be schechted and given to tzeddaka, yet the default is to throw them way. If it’s either not the same organization, or they try to give away the kosher chickens and the ones you saw discarded were the neveilos and treifos, then there is no fraud going on.
Saying there are more efficient uses of tzeddakah money is misguided, when, as I said, the tzeddakah aspect is not the main thrust of kapparos.