If the monitor works there are several possibilities.
1. See if your paper like mine has a free classified section and offer to give it away.
2. Check with your local computer repair shops--- I have one in my area that takes old units and parts to salvage.
3. Consider placing a 3x5 card on a bulletin board at work of the gym or wherever.
4. Last choice is most landfills have special disposal days for old electronics- paint and other non standard trash.
Hope you have success with the first three.