There should be a method like GetRadWindowManager for RadToolTipManager called GetRadToolTipManager. This could be under the static $telerik.static library or as a global function that can be directly called without any prefixes.

The goal is to find the RadToolTipManager in an easy and transparent manner in any content page, otherwise one needs to get the id from master page and then use $find, which is not an easy and transparent way of getting the manager object.