i personally would go for a bit 2x1" screwed near the tile baton
or at minimum pilot into the tile baton and use a say 50mm wood screw and give a good "heave" on the baton but holding on well with the other hand to check it wont give as some tile batons can put knotty pine to shame![Eek! :eek: :eek:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
or at minimum pilot into the tile baton and use a say 50mm wood screw and give a good "heave" on the baton but holding on well with the other hand to check it wont give as some tile batons can put knotty pine to shame