Should the user interact with the web page or is this a read-only view?
If this is the last one, you can create a service application hosted on your own computer that will test the website at some interval. With each survey, you would capture a page image using the Win32 BitBlt method. Clients will then connect to your server and receive an updated timer image instead of a web page. You would reduce the number of customers who came to your customer website to 1 and move the load to your network. This will be a read proxy only for you, and, of course, it will only work if you do not need to enter a user on a web page.