Hey Zero, don't change the context of the thread, of course immediate landing is an appropriate response for a fire but that's not what we're discussing.
I've had several birds in several engines over the years and I can't predict the extent of damage from the cockpit; nor can you. I agree that working the problem before "going nuts into the nearest ..." is sensible but I would generally prefer to remain in close proximity to a usable runway while doing so. An engine with a bird down it can behave normally for a while then go downhill fast!
I agree with wayupthere's safety factors but his commercial factors can be no more than minor bonuses if the safety decision points the same way.
In any case sounds like the outcome was a safe landing so well done the guys!
Happy landings!