| Azothath |
well, look at both;
Bard, then Bardic Performance:
Starting a bardic performance is a standard action, but it can be maintained each round as a free action. Changing a bardic performance from one effect to another requires the bard to stop the previous performance and start a new one as a standard action. A bardic performance cannot be disrupted, but it ends immediately if the bard is killed, paralyzed, stunned, knocked unconscious, or otherwise prevented from taking a free action to maintain it each round. A bard cannot have more than one bardic performance in effect at one time.
the first tricky part here is, "cannot be disrupted". In context that implies the caster taking damage does not have to make a concentration check to maintain the performance (as a free action).
Secondly is only having one bardic performance going at once, so the spellcasting of Blink cannot come from a Bardic Performance.
Lastly, free actions in RAW don't have a limit but your home game GM may restrict them.
Blink doesn't have specific timing, in fact it's several times a round and many over the character's turn.
I don't really see a problem with starting or maintaining a Bardic Performance as an instantaneous interruption doesn't affect the Performance.
The targets do need to see or hear you (I say OR as Inspire Courage lets you choose between the two) but that's only needed for the action to start or maintain the effect.
commentary - If your GM needs an analogy, the movie Jaws is an excellent example. The music(audible) does the suspense *bah dum* and the shark *bah dum* is somewhere *bah dum* under the *bah dum* water *bah da bah da* and then *bah da bah da* the shark *Bah Da* pops *BAH DA* up *BUM* (que screams). Or you could choose a theme/act that goes with the semi-etherealaness, ghostly encouragement.