I am configuring Diagnostics & IIS Logs for Azure Websites. Azure Manage Portal shows options to store Application Diagnostics to Azure Table Storage:
After you enable the table diagnostics, try setting this app_setting for the SAS URL to your table:
DIAGNOSTICS_AZURETABLESASURL
Example:
$site = get-azurewebsite mysite
$site.AppSettings.Add("DIAGNOSTICS_AZURETABLESASURL", "")
set-azurewebsite $site.Name -AppSettings $site.AppSettings
You can find out more about the SAS URLs here: http://msdn.microsoft.com/en-us/library/azure/dn140255.aspx
You can't just set the table name because it needs more information for security purposes to access the table as fully as it needs to for writing data.