It should have no problem. I mounted and did the sight in on a Trophy 3-9x40 for my nephew on his Browning .308 and he loves it. Did you also see that Banner on the Sample list at Riflescopes.com? It's a 1.5-4.5x32 for $40. It's listed as a shotgun scope but that is what you have listed for the trophy model with the diamond recticle. Would be worth considering, Trophy is supposed to be the better of the two though.
Mark