If there is no water available should one clean his hands in other ways after doing the above actions?[1]
Yes. One should clean his hands on a stone or the like. This applies even if one’s hands did not become dirty. [Regarding those actions that it is accustomed to wash the hands three times afterwards seemingly one is to wipe his hands three times on the item he is using to clean with.[2]]
[1] Tehila Ledavid 4:24 based on opinion of Birchas Avraham mentioned in Elya Raba 4:15 that perhaps even cleaning the hands without water helps remove the evil spirit.
[2] As so rules the Birchas Avraham which is the source of this ruling of the Tehila Ledavid. See Chapter 3 Halacha 7 Q&A.