I have to disagree about Exchange being an obvious target. The combination of IIS 6 and Exchange 2003 on a dedicated server has not been compromised to date. Most compromises of IIS come through dodgy third party applications on top.
As for "integration" with Eudora, Exchange has a POP3/IMAP interface. However if you are not going to use the collaboration features then it may well be a bit over the top.
You cannot disable the collaboration features, so if you purchase Exchange then the users will use the features, particularly if you those who have used an Exchange based system before. You cannot stop users arranging meetings etc. Even if you do not use Outlook as the client, then they can do the same thing through OWA.
My first email server was a bog standard IMAP/POP3 server (can't remember which one) with Squirelmail on top for the web interface.
Given your requirements are fairly basic, I personally would steer clear of the two major collaboration servers of both Notes and Exchange.
On your list of requirements - there is no AV, web based management without third party tools. All email corruption I have seen with Exchange has been caused by third party tools, AV being the usual culprit, but firewalls that scan SMTP traffic have caused issues.
It will do archiving at the point of delivery, but again a third party tool is required to get the best from it.
Simon.
Simon.