You can omit" for him" if you want. It's no better with it or without it, in my opinion.
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Thinking SpainThey were searching for him in every town and village and keeping a lookoutHi TS.for himonover the roads, the airports, and the houses of his family and friends.
SurferAs for Dinon, the police were searching in every town and village and keeping lookouts over the roads, the airports, and the houses of his family and friends.Hi Surfer,