How about combining an exchange --
like a used cookbook exchange.

Get something "different". No one has to pay any $ out, except for postage. And the cookbooks can be mailed Media Mail, which is less expensive and may only take an extra day or two in mail time.
Or a White Elephant Exchange. And rather have an all at once multiple person exchange, have a chain exchange.
Someone mails someone a white elephant item.
That person in turn can either keep the item, and mail another. Or mail the item they received on to someone else.
And that person can either keep what they receive, or mail it on, etc.
And maybe for any item that is passed on, include a note showing where the item came from so we can see the path it takes.
Pin people sometimes do something along this line. It is usually called Pin Zapped, or Zinged.
Someone mails a pin. That person can keep it or pass it on, etc.
The more non-desireable pins are sometimes called Rusty Nails (as opposed to the opposite -- a Holy Grail).
So we could have a Rusty Nail (pin) exchange.