I think I found a way for you which is worth a try:
Get Firefox and install the DejaClick plugin:
http://dejaclick.alertsite.com/
Now you can use this to record and replay your clicks.
This is half of the work, the other half would be to launch this periodically. Unfortunately, DejaClick doesn't seem to do this.
But we can find tricks. For example:
From the DejaClick FAQ wrote
Is there a way to run my script when Firefox starts up?
Yes. The easiest way is to create a DéjàClick Super Bookmark by clicking on the toolbar. Make that your startup homepage: in the Firefox Options dialog, in the Startup section of the Main tab, click the Use Bookmark button and select the DéjàClick Super bookmark you just created as your Home Page URL. Then, change the When Firefox starts option to Show my home page.
Another option is to create a shortcut to execute Firefox and pass your DéjàClick URL via the command line.
So now you can launch your script from the command line, all you have left to do is use the Windows Task Scheduler to launch it every few hours.
This or find a plugin which can launch links or bookmarks periodically.
Or find another plugin which can record links AND launch them periodically to replace DejaClick.
I haven't tried any of this but I thin it's worth a try.
In any case it's an example of how you possibly assemble a solution from various parts.