I am writing a few paragraphs about a murderer who gave himself up because he was sick of hiding (from the police).
Schließlich erwischten die Polizisten den Mörder, da er überdrüssig des Versteckens war und stellte sich daher der Polizei.
It really doesn't sound right to me, but I don't know grammatically how to get across the idea of being sick of hiding oneself. I get the feeling Verstecken means to hide something rather than to hide yourself, and I also get the feeling a native would just phrase this in an entirely different way but I really can't think of how.