I can confirm that 60 Minutes WILL (not could) be delayed for major parts of the East Coast. Here is the NCAA Basketball Tournament picture for CBS telecasts:
U North Carolina just beat Washington at 215pm. The game took 2 hours on the nose.
At 249pm, the first game of the West Region at Charlotte will tip Duke vs. Michigan. Let's assume that it finishes without overtime at 449pm (the probability of finishing much sooner is not high).
That makes the tip time for Ohio State vs. George Mason about 519pm. With a 2 hour game (this one will not be going to overtime), that finishes around 720pm, or 20 minutes late.