I'm not sure if you looking to advertise one or keep track of them. I think it would be nice if we all could use the calender in our UserCP. Add in our own fields and have it fill in whats going on. Tourney's, live stream events whatever.
You can post any tourneys in the Tournament Announcements Section of AZB Forums - weekly, monthly, regional, handicapped/non, added-money, not added money, etc. If you want them on the calendar that JAM linked from AZBilliards.com, you would need to email the webmaster to have it added. However, most of those tourneys submitted are $500 or more added and not weekly tourneys - those are for the Tournament Forums Section.