It's not cut-and-dried, but I think missing is the right call, especially since they had no timeouts. Having a 2-point lead vs. a 1-point lead is as meaningful in that situation as it is in the last minute of a football game -- not at all.
If you can coach your team up to execute it properly: brick the shot, have the shooter and one other guy apply token pressure in the backcourt -- without fouling! -- and 3 other guys near midcourt. The best look they could conceivably get is a 50-60-foot heave, like Gordon Hayward at the end of the Duke-Butler championship game.
If you make the shot, they could conceivably get a look similar to Bryce Drew (Valpo) in 1998, with a similar amount of time left. BC even tried to execute that exact type of play, except the pass was too short, and Boat had the shooter well-defended.
The real question is this: how often have you seen a team make a shot off of a miss in that situation? (Never.) Versus, how often have you seen a team make a shot off of an inbound pass from the baseline? (Sometimes.)
The only wild card is: if we miss the free throw, might Brimah have been dumb enough to contest the rebound and end up committing a game-losing foul (a la Pitt vs. Butler in 2011)? That's where coaching comes into play.