I see only one way, how you can use URE Pro to resolve this task – try the “Admin menu access” add-on.
W3 Total Cache plugin protects all its admin menu items with ‘manage_options’ user capability. So you can grant ‘manage_options’ to a role and block all unneeded menu items selecting related checkboxes. I recommend to start from the “Block Selected” model, as ‘Block not selected’ will require more complex tuning.
For W3TC leave unselected(unchecked) only ‘Perfomance’ and ‘Dashboard’ menu items. This will leave to a role access to the dashboard page where different clear cache buttons will be available. URE Pro will block access to all other (selected) menu items and linked URLs.