This late in the game you have to either have a contract to recycle for some really high caliber places that still use old gear if you want stuff like minicomputers and mainframes. For the smaller stuff like Apple II's and other early home computers you'll be up against the much larger corporate recyclers who pay to get your stuff and have contracts with smaller recycling centers.
I myself work in the E-waste business and it's a dog-eat-dog world out there.