we get 100s of backpacks for a NPO in Chicago via local Costcos through a pretty simple application
I think it's a national Costco program
It’s held up for 3 years and still looks good. I think I can get him
through middle school with it. He’s going to the 7th.
The one drawback is that each is a separate organization in a specific geographical area; for example, Boys & Girls Club of San Francisco.
Boys & Girls Clubs seems like a perfect fit for your description.
Teach For America and KIPP both have organizations in a large number of cities, if you go to their contact pages and lay out what you're trying to do, you'll definitely get pointed in the right direction.