Is your coin ETH based / ERC-20?
You can check this list of decentralized exchanges : https://bitcointalk.org/index.php?topic=4515322.0
There's a form on each sites which you can fill up as a request to add your token.
You can't expect them to be listed in a good exchange where you can get high numbers of trading tho.

If you want your coin to be in a good exchange there really is no option but to pay.