Please excuse my edit
[name]How[/name] about [name]Linnea[/name]? Beautiful name & flower. 
I like [name]Evelyn[/name]. [name]How[/name] about [name]Caitlin[/name] or [name]Lindsay[/name]?
[name]Gwendalyn[/name]
[name]Lynnelle[/name]
I was just about to suggest [name]Linnea[/name]- that would be my pick.
Some other suggestions with a [name]Lynn[/name] sound at the end:
[name]Katelyn[/name]
[name]Brooklyn[/name]
[name]Carolynn[/name]
[name]Aislyn[/name]
Lynaia is a variant spelling of [name]Linnea[/name],or [name]Lynnea[/name] is a possibility. I would only suggest for a middle name. [name]Lynell[/name] or however creative you would like to be. Lynnora? Perhaps hyphenated with another name for a middle name - [name]Grace[/name]-[name]Lynn[/name], [name]Joy[/name]-[name]Lynn[/name], etc. Wishing you all the best!
I think [name]Linnea[/name] may be the closest thing to what we’re looking for.
I’m still interested in other suggestions, if you have them. We do not like [name]Caitlin[/name] (or its variants).
I like [name]Evelyn[/name]. It seems to have been popular (top 100 name) for several decades. More timeless than trendy.
[name]Linnea[/name] is a nice choice too.
Or you could go with a name that has a similar meaning - maybe a “watery” name like [name]Marina[/name], [name]Maren[/name], [name]Moira[/name], ([name]Lake[/name]) [name]Geneva[/name]…
[name]How[/name] about [name]Marilyn[/name]? I think it’s really glamorous. My roommate in college was named [name]Marilyn[/name] and she was a knockout.
I think its retro but also really cool. I also like [name]Evelyn[/name] which I think this echoes. Other suggestions include [name]Jocelyn[/name] and [name]Rosalyn[/name]. [name]Both[/name] of these names are gorgeous and ones I really like. [name]Rosalyn[/name] makes me think of Rosalynn [name]Carter[/name] the former first lady of the USA.
[name]Linnea[/name] is really classy. I like [name]Lynette[/name] and think it’s really classy.
Finally you could use [name]Lynn[/name] as a middle name for your daughter and keep the tradition.
I think [name]Linnea[/name] would be the obvious choice, I have a bestfriend who spells it Lineah. There’s always:
[name]Adelyn[/name] (Trendy)
[name]Evelyn[/name]
[name]Brooklyn[/name]
[name]Holland[/name] (Not [name]Lynn[/name], but similar sound)
[name]Aislinn[/name] or [name]Aislin[/name] (EyesLynn) or ([name]Ashlynn[/name])
[name]Lindsay[/name]
[name]Gwendolen[/name]
Adalinda
All I can think of really, could you not use [name]Lynn[/name] as a middle name?
[name]Adalynn[/name]
[name]Jacqueline[/name]
[name]Jocelyn[/name]
Lyneth
[name]Lynwen[/name]
[name]Ashlyn[/name]
[name]Aylin[/name]
[name]Ellen[/name]
[name]Emmeline[/name]
[name]Helen[/name] (… phonetic link rather than spelling)
[name]Lina[/name]
Nyline
[name]Orlinda[/name]
[name]Rosalin[/name]