I checked the Internet but did not really find a website where one could publish an inexpensive game where the player pays with a CC (or PayPal), and downloads it.
Are you sure?
There are tons of casual games platforms:
http://gpwiki.org/index.php/Casual_Game_PortalYou can add a lot more to this list like:
http://www.gametrove.net/http://store.steampowered.com/and much more
I personally doubt that it makes sense to create another distribution platform, except you really have new high quality games or just another more user-friendly experience or you offer everything for free.
