Actually, they did use an F-16 as back-up. It’s called combined forces:
...
At approximately 1:12 p.m., the house was positively identified allowing 1st Battalion, 9th Field Artillery Regiment to fire two Excalibur rounds destroying the meeting house.
An unmanned aerial vehicle observed persons leaving the house, loading injured individuals into a sedan and fleeing the scene.
An AH-64 Apache helicopter engaged the sedan destroying it.
Three people were observed running from the meeting house to a nearby house.
A U.S. Air Force F16 Fighting Falcon dropped two 500-pound GPS-guided bombs on the second house.
....
nothing like using all the weapons at our disposal to rid the world of trash like this.