Xampp is accessible in the LAN anyway. Simply enter the LAN IP of the Xampp Server into the clients browser, i.e.
http://192.168.1.10 or similar. The Xampp Dashboard should appear. Put your documents into htdocs folder (like test.php) and access it via
http://192.168.1.10/test.php (replace the LAN IP).
Only Administration of MySQL via phpmyadmin is protected in Xampp and can only accessed via localhost. There should be the line "Require local", i dont know if it has been removed by Bitnami. But anyway, you dont need to modify anything in order to access your own files in htdocs.
P.S.: Your documentation is outdated, the "Require local" clause is in a Directory container for phpmyadmin in the new version (but you should find it anyway, simply search for "Require local", its very easy to find). There is no LocationMatch anymore.