Check out your city's website under the trash/recyling section. Many cities post list of charitable organizations that accept donations of large items like stoves---and the cities post the information because they would rather have you re-use something than dump it on the city to deal with.
If the website doesn't have info, call the recycling dept. and they can probably point you somewhere. In the city where my dad lived they had a "goods" pantry, which is like a food pantry only it is for household goods.
If that doesn't pan out and local Salvation Army doesn't work for you, find a Catholic parish and find out how to contact their "St Vincent DePaul Society" to donate the stove. The St Vincent DePaul Society's purpose is to "offer assistance to those who have fallen upon times of hardship and personal crisis." Or if you belong to an organized religion, ask and see if there is a group or person who has connections in the community and knows a family that needs a stove or if they have a thrift shop where they can re-sell your stove.*
* This isn't just a money-maker for these groups. Besides the obvious selling things to people who can't afford to buy new, many times the organisations employ people (who might otherwise be considered "unemployable") to refurbish dontaed items. The stores may have a couple of volunteers who run things and employ people (short term) who need solid work experience before they can find a regular full-time job.
Good luck with the stove and don't forget to get a receipt for your taxes.
The difference between the almost right word & the right word is really a large matter--it's the difference between the lightning bug and the lightning.
- Mark Twain, 10/15/1888