[name_f]Lyra[/name_f] has grown on me lately too. I have [name_f]Lyra[/name_f] [name_f]Anthea[/name_f] on my [name_f]Baby[/name_f] a [name_f]Day[/name_f] list, which fits with your description fairly well.
[name_f]Lyra[/name_f] [name_f]Cécile[/name_f] is lovely and chic - I’m a huge fan of [name_f]Cecile[/name_f] generally - but I rather enjoy the texture [name_f]Jonquil[/name_f] brings to the fluid sound of [name_f]Lyra[/name_f]. Perhaps [name_f]Jonquil[/name_f] as a second middle would work nicely.
I love @Greyblue’s suggestion of [name_f]Lyra[/name_f] [name_f]Celandine[/name_f]. It has perfect rhythm and balance.
Some more ideas…
[name_f]Lyra[/name_f] [name_f]Pearline[/name_f]
[name_f]Lyra[/name_f] [name_f]Antonina[/name_f]
[name_f]Lyra[/name_f] [name_f]Solveig[/name_f]
[name_f]Lyra[/name_f] [name_f]Estrella[/name_f]
[name_f]Lyra[/name_f] [name_f]Alessia[/name_f]
[name_f]Lyra[/name_f] [name_f]Fiorella[/name_f]
[name_f]Lyra[/name_f] [name_f]Vesna[/name_f]
[name_f]Lyra[/name_f] [name_f]Gwenaëlle[/name_f]
[name_f]Lyra[/name_f] [name_f]Kalina[/name_f]
[name_f]Lyra[/name_f] [name_f]Apolline[/name_f]
[name_f]Lyra[/name_f] [name_f]Milica[/name_f]
[name_f]Lyra[/name_f] [name_f]Yvelise[/name_f]
[name_f]Lyra[/name_f] [name_f]Poppy[/name_f]
[name_f]Lyra[/name_f] [name_f]Ismerie[/name_f]