Are you saying that
anything on the old site matching the template /biznology/archives/yyyy/mm/title.html will go to the new domain at /yyyy/mm/title/? That should be easy enough to rewrite in the old site's /.htaccess:
RewriteEngine On
RewriteCond %{REQUEST_URI} ^/biznology/archives/ [NC]
RewriteRule ^biznology/archives/(.*)\.html http://www.biznology.com/$1/ [R=301,L]
Does that work for you? Search engines should update their page indexes to show the new path, but I can't tell you if that will cost you any SEO ranking, at least temporarily.