My gm was named
Ida (long i sound) and I absolutely hated her name. Your pronunciation is heaps better if people would consistently use it. My gm's name was
Ida Lillian which has a nice flow to it.
Other suggestions:
Ida SusannaIda Margaret,
Ida MargueriteIda Penelope (livens up
Ida)
Ida RosalieIda VeronicaIda Claire (just kidding!)