The Joorthodox way, i guess, would be to control the module availability from the module manager in administator page, where you can assign it to certain pages/menu items only. Thus summarizing, create a menu item type for that page assign it to a menu item which in turn will be your module control switch for that page.
Another approach could be a control directly to the joomla module renderer. An example can be found here: joomla-is-there-a-module-render-plugin-event