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My wife called on of the local food banks to see if they would be intrested in helping us with donations during our event. It took them a couple of days to get back to us but they told my wife that they were a strong "faith" based program and that they
had no problem accepting donations from us. However, They had a problem saying that it was from us, which is something that we have to be able to show. While they do respect what we believe they think that it might cause a problem for both parties involved.
We have a secular Food Bank here in my state, Northwest Harvest, and they happily accept donations from anyone, howevever, they'll never advertise who any of those donations came from. They don't care where it came from, and they won't advertise.
There's a Lutheran Church who's been running a Food Bank in my area as well for 30+ years (they're awesome), they also will NEVER say who their donations come from, they accept any help, but will not advertise where those contributions come from. Not from another Lutheran church, pagans or corporation. You can understand why they won't it could create a problem for them in a sense.
In fact, I don't know of a single food bank or mission that will. The people who go to Food Banks need help, they need food, they don't care, and mostly don't want to know where their meals are coming from. It's slightly demoralizing to them in a sense to be at a food bank in the first place, they're grateful, but they aren't happy about being there, and they don't want to know who the good people are who are helping them. They would prefer they remain anon, and that the people who help them remain anon. It's just more comfortatable that way.
I'm begining to wonder if your national organization has made an unreasonable request.
OR, did I misunderstand what your organization is asking for from you?
What you MIGHT try... and this is kind of an interesting thought... find a radio station that's doing a food drive, call in and say your group is willing to donate XYZ in food and cash. They won't turn you down. You will likely have to donate through a consolodated thrid party public drive, like a radio station or TV station, to get any recognition. The Food Banks or missions won't give that recognition (not even to a radio or TV station). They really almost can't. At least where I live they can't or rather won't.
Unfortunately, these drives generally happen in December.