As stated before in other posts Playa Blanca is a very laid back resort.....with a very limited nightlife(almost completely geared toward the local Spanish or Spanish speakers)....there are a few bars with the odd singer on....as to flamenco this is not a Canarian tradition or dance maybe the odd hotel or two may put on a ´´show´´ of this type but not in Marina Rubicon which is a ´´bit up-market´´
with a jazz bar...chill -out music bar´´etc.
The town or in particular CC Papagayo does have a few Brit/Irish bars with the occassional ´´pub singer and guitar or even worse Karaoke(or as I call it ... pay to entertain yourself !!)
´´type of entertainment but little to occupy your little one....however she will be welcome in all bars and restaurants as Canarians love kids and it is not unusual to see whole families out till late at night.