I found a proxy page server that appears to delete its cache, so if the page tried to be recalled from the history then it would no longer exist, you would have to login to TP from the proxy site before being able to access the vids.
The url is http://zend2.com/
Have an experiment, say access a site like the bbc, and then see if you can later access the page from your history later on. Good luck.
Also firefox has a private browsing mode, access this from the toolbar ‘tool’ menu.