I happened to notice that while Bradley was outscored by Memphis, they did manage to score more points that Duke did in their concurrent game against Louisiana State. The obvious conclusion, therefore, is that Bradley would have won if only they'd had the chance to play against Duke.
Ah well. At least Bradley has their speech team to continue supplying them with national championships. Since 1978, the Bradley speech team has won 38 national team titles (there are two national tournaments) and 134 individual titles, so in the greater scheme of things, one measly NCAA men's basketball championship wouldn't have meant all that much.