If that's the case God Help you because no one else is going to. :p
You could become the [b]Experiential Patient[/b] for new treatments dreamed up by this crowd. Did you actually read that Contract that you signed? :^0
Now back to the immediate problem you need something to hold Passwords on/in, in some sort of Secure Location at the Office come Community Park with the WiFi Hot Spot.
You will obviously have this stored on the Admins System as an Encrypted File and probably be a good idea to store it Off Site on something convenient so I'm assuming that will be a USB [b]Thumb[/b] Drive. Just remember that these are not to be considered as Reliable so make sure that you have copies of the Thumb Drive and the Encryption Key Here Boxy. Just don't rely on it as the Last Resort it will come and bite you [b]Big Time.[/b]
Do they have a Drugs Cabinet here? Those have to be locked and easily accessed so that may be a convenient location to store a Paper List of Passwords stuck under a Shelf with something like Blue tack.
If you where to rely on your Workstation there that would mean that they all need access to it and that isn't a clever Idea so you need somewhere to store an envelope or a couple with the Users Names on the Front of them. When they get opened change the Password and write it down and seal it inside another envelope.
No matter what you do here it's going to be a nightmare to administer and remember that when you use the shorthand M$ to these people it doesn't mean Microsoft it means a Incurable Disease which was around a long time before M$ was. You'll get some funny comments about Incurable Infected computers if you don't remember that. :)
OK as you know what is available there you'll need to look around and find something suitable but I wish you a lot of Luck in trying to get them to stick to a accepted System after it is setup. You're going to need it.
Whatever possessed you to agree to doing this in the first place?
Anyway the offer is open if you need any help just PM me and I'll see what I can do to help.
Col