Middle name for Genevieve?

Hubby and I are kind of stuck. We love the name Genevieve (pronounced Gen-nuh-veev)but can not agree on a middle name. There are a couple of stipulations.

1. It can not begin with A, that would make the initials GAS. We loved Genevieve Alice but then thought of the initials. ☹

2. We do not want it to end in the E sound, like Marie, Emmy, or Sadie.

Genevieve Elizabeth and Genevieve Mae are both names that we have thought about but are not completely sold on. Last name is Smith.

Genevieve ________ Smith

Thanks!!!