You don't need a mailing-list manager to run a mailing list--some very low-tech solutions do just fine, especially if your subscribership is stable.
If your list is moderated (i.e. you check that each message is appropriate before distributing it to the list), all you need to do is maintain a list of subscribers in your favorite e-mail program. When a message arrives, you forward it to the list. Two hints if you do take this route: If your mail program has a "bounce" function, you should use it--that will preserve the "From:" header indicating who originally sent the message, listing your e-mail address as "Resent-From:", which is more appropriate. You also should consider putting your list of addressees on the "Bcc:" line rather than the "To:" line, so that if people reply to a message it comes back only to you, and not to the list (bypassing you and your moderation function).