I don't know if paying a buyout is more or losing further "non profitable" revenue is more. But, in my mind, you need to take a few precautions in a coaching change scenario.
#1 Make sure and secure the top recruiting class coming in. Before you alienate these top players, count that cost.
#2 If you haven't been doing the job right yet, then get your ar$e$ on the elite coach recruiting trail NOW. When the (potentional) firing takes place, then the insiders already know which elite replacement is on the way. Do NOT fire, pay a buyout, then "go out there and see who you can throw $$$ at to get".
#3 If you do #1 & #2 right, then you'll have 99% of the elite coaches in the nation knocking the door down for this job. Top recruiting class in place. Monster program history, legacy, facilities, and fan base. Most importantly, CHW took the post-legend "scapegoating" that new guy/gal gets to save us from.
Bama got Saban. UK got Calamari. In short, be shrewd! Don't screw this up again.