Glad I could help.
I should have said to use this tag (with the exclamation point):
If you can set up a cron job (usually possible in cPanel), and the page is published, but not shown in menus, you should be able to create a monthly one that visits the page:
wget -O - http://yoursite.com/url/of/reset/page >/dev/null 2>&1
If cPanel doesn't help you fill in the date options, the full line would be:
0 0 1 * * wget -O - http://yoursite.com/url/of/reset/page >/dev/null 2>&1
(0 0 1 * * means: minute 0, hour 0, of day 1, for every month, and every year.)
That will execute just after midnight on the first day of each month. Note that the first two characters are zeros, but the -O is the capital letter O.