Ava is a beautiful classic. It is becoming more and more popular, if that bothers you.
Lynn is an unimaginitve mn, but family trumps originality when naming, so
Ava Lynn is fine.
Have you considered
Lynn as a fn? Now there's something unusual. She'd be the only
Lynn is her class, that's for sure. Names like
Marie,
Rose,
Anne that are usually religated to the mn position are very fresh, as fns. Or, you could find a fn with a
Lynn sound in it:
Linnet (small bird)
Linden (a tree)
Lyneth (Welsh girl's name)
Linnea (Swedish flower, "li-NAY-a")
EvelynJocelyn