Thanks for all of the help, everyone. Taking inspiration from David, we created a field to compute the URL of the attachment. That field was then displayed on the Xpage.
The formula language is as follows:
@If ($File = ""; "Attachments Fail to Exist" ;
@Implode( @Explode(
"<a href="+"\"http://domino/county/liaisons.nsf/"+@Text(@DocumentUniqueID)+"/$FILE/"+@Text(@ReplaceSubstring(@AttachmentNames;" ";"%20"))+"\">" +@Text(@AttachmentNames)+"</a>";";");"<br>" ))
The result is a series of links, or, in the event of no attachments, a message stating "attachments fail to exist."
Thanks again.