But it was the 17-year-old Gurbaz, a wicketkeeper-batsman, who stood out with his second T20I fifty after the Afghans were in early trouble at 12 for two.
Gurbaz, named man of the match, put on a crucial 50-run stand for the fourth wicket with former captain Asghar Afghan, who made 24, and surpassed his previous T20I best of 61.
He smashed six fours and five sixes before falling to West Indies skipper Kieron Pollard.
Pacemen Sheldon Cottrell, Kesrick Williams and Keemo Paul took two wickets each.
The West Indies lost regular wickets to falter in their chase against a disciplined Afghanistan attack that made the most of a slow track.
Hope, who was dropped on 11 by Naveen off Gulbadin Naib, completed his second T20I fifty but got little support from the other end.
Bowling all-rounder Karim Janat could not repeat his heroics from the second game where he claimed five wickets and scored 26 runs, but was named man of the series.
The two teams will next play a one-off Test starting November 27.