The nearest city could always be reached by the manslayer in half a day.
If you read the Bible account, you will find that the manslayer had his liberty restored to him upon the death of the High Priest.
Why not a quick draw, a snap shot, and then the glory of having killed this manslayer in single battle for Joe Rix?
If a manslayer does not believe that the next of kin is on his track, he will not flee to the City of Refuge.
In this case a special hut was not built for the manslayer, and he was allowed to pass the nights in the temple of the war god.