Cannot send email using smtp.mail.me.com in OSX/Mail
I am trying to set up my email account in Mail so that I can use my iCloud account as the IMAP account for an email address under my personal domain. iMac 2010 i5 running Mountain Lion 10.8.2
On my first attempt, I got my iCloud email setup and working in Mail. That was fine. Then, I tried going into preferences and using the Alias "Custom" setting to switch the email address to my personal email address. That worked okay for receiving email, but would not send, since the iCloud account setting for Outgoing Mail Server (SMTP) is automatically set to "iCloud" which does not seem to work for non-iCloud email addresses.
After googling the problem, I found a reference that said that if I need to do this, I need to configure Mail Preferences/Account manually. So I did that, using the settings described here: http://support.apple.com/kb/HT4864
Again, I can receive email, but not send.
Using smtp.mail.me.com and myuserid@icloud.com, I cannot send email - I get a message saying "cannot send message using the server smtp.mail.me.com".
I click on Connection Doctor, and smtp.mail.me.com shows a green light - everything looks fine. Plus, at the time that I set up the account manually, the outgoing server connected properly.
Does anyone have any idea how I can get the outgoing email working for iCloud?
Cheers.
iMac (21.5-inch Mid 2010), OS X Mountain Lion (10.8.2)