First of all I'm so glad that your daughter is doing well and that she has you (Parents) that are doing everything they can for her. She's very lucky.
I certainly don't think all kids who are born deaf or HOH should get a CI or any similar device. I'm just fed up with the debate where people put down parents who look into all the options and decide to take that route. IF the "Device" doesn't work well enough for them to communicate with audio alone then they should certainly fill in that gap with ASL, lip reading and what ever they can. I don't agree with most arguments such as waiting till the child is old enough to decide because if they do decide to get it later and it is helpful to them. They'll likely wish they had it earlier in life when it was more helpful (When they learned to communicate, school, etc...).
If a child is born with a missing leg for example they'll likely look into getting that child a prosthetic about the age where kids begin to walk. If a device or procedure will give the child the ability to hear it's best to get it at the time when it's crucial for them to be able to hear (learned communication, brain development, etc...). I'm not in any way suggesting that a child has to hear in order to learn to communicate or have good brain development. I'm simply saying that if it is possible for them to gain this sense then it's best to get it when it's most beneficial.