I understand tha it the past, when the Public folder functionality existed, that it was possible to have a fixed dropbox download URL that you could then redirect to your own domain name so that download link would look something like:
http://dl.dropbox.com/u/XYZ/<file path>
where XYZ is your Dropbox user ID number.
You could then redirect this to you own domain using CNAME in your DNS configuration. Is this still possible? I'm specifically looking at getting a Plus account but was hoping to test first in the free account but I see that public folders are no longer available and just sharing a link does not have a common link before the file path.