Names for a baby girl that don't start in A or E, end in -a or -ie (or y), are outside the top 50, not shooting up the popularity charts AND not too barmy.
Told you it was a challenge 
Everything I love so far seems to tick one or all of the above boxes, so I'm looking to add a bit of variety to my list. The names on my longish longlist that meet these criteria so far (none of them feels quite right though):
Juno
Camille
Juliet
Claudine
Vivienne
Any more?