The reason most pastors only schedule confessions for one hour per week is because that time seems sufficient. Quite often, confessions are finished well before an hour passes. A parishioner, at least at our parish, need only call the church or rectory and ask for another time. Anonymity can always be preserved by requesting that one meet confidentially and behind the screen.
Hope this helps!
Father James M Fosnot
St Augustine Catholic Church
Richmond, Virginia