Kyle Hutton and Kal Naismith make way for the duo's return with Hutton dropping out of the match day sixteen altogether.
McCoist sticks with the same back four that kept a clean sheet last weekend against Forres.
Sebastien Faure maintains his right back spot with Lee Wallace on the opposite flank and Ross Perry and Emilson Cribari in the heart of the back four.
In front of them Ansetis Argyriou and Fraser Aird take the right and left flanks with Lewis Macleod and Black in the centre.
Shiels will offer the closest support to Lee McCulloch up front.
Rangers: Alexander; Faure, Perry, Cribari, Wallace; Argyriou, Black, Macleod, Aird; Shiels, McCulloch.
Subs: Gallacher, Crawford, Kyle, McKay, Naismith.
Stirling Albion: Filler, McClune, McAnespie, McCulloch, Thom, Allison, G.Weir, McSorley, White, S.Weir, Ferry.
Subs: McGeachie, Day, Flood, Brass, Peat (GK)