not a a fan of ingrid, in grid, sounds like a viking growling. But i'm sure it could grow on me.
I really think an L would be good
Ingrid Lorien,
Ingrid LiorIngrid Elena/helena (eh-lay-na)
Ingrid Taitem
Ingrid ArielleIngrid LibertyIngrid JoiIngrid AmayaIngrid Inaya
Ingrid Saba
Ingrid TamsinIngrid CheriseIngrid ReneeIngrid RaeIngrid RaineIngrid TaiIngrid Jasinda
Ingrid Giselle (ooh, i like this, it seems to fit for some reason)
Ingrid JosetteIngrid Anke (un-ka)
Ingrid BiancaIngrid OrahIngrid MatildaIngrid Oliviana
Ingrid MarianaIngrid ReganIngrid SapphireIngrid ScarletIngrid LarkIngrid DawnIngrid Kay
Ok, i've covered just about every genre of names there.
So that might help point you towards the style you want to match ingrid with.