When it comes to nicknames, I’ve found what you call the child/what they go by is what other people will call them. If I introduce myself as [name]Laura[/name], people call me [name]Laura[/name]. If I intoduce myself as [name]Lola[/name] (as I most often do), that’s what people call me. I love saying her name, hence I use it more often. And it’s easy to do: “What’s her name? [name]Josephine[/name]”. 
Now, onto [name]Elise[/name] and your previous list:
Too short next to your surname/suggestions to lengthen them a bit:
[name]Cora[/name]/[name]Coralie[/name], [name]Coraline[/name]
[name]Mia[/name] - [name]Amelia[/name], [name]Camilla[/name], [name]Emilia[/name], [name]Pamela[/name], [name]Romilda[/name], [name]Samira[/name] or even [name]Wilhelmina[/name] (I love willa-mina!)
[name]Lily[/name] - [name]Lilian[/name], [name]Lillian[/name], [name]Liliana[/name]/[name]Lilianna[/name], [name]Lilia[/name], [name]Lilias[/name], Lilavati (is Sanskrit)
[name]Clara[/name] - [name]Clarissa[/name], Clairsse/[name]Clarice[/name], [name]Clarity[/name].
[name]Corinna[/name] very pretty. The [name]Corinne[/name] sound strikes me as very 70’s, I knew tons of them when I was little. But [name]Corinna[/name]'s a slightly fresher turn. [name]Corinna[/name] [name]Elise[/name] [name]Crow[/name] would be pretty. I just prefer [name]Coralie[/name] and [name]Coraline/name. [name]Coraline[/name] [name]Elise[/name] [name]Crow[/name] would be lovely.
[name]Julia[/name] - [name]Julia[/name] [name]Crow[/name] feels a touch sing-songy to me. [name]Juliana[/name] and [name]Juliet[/name] would be a bit better, sound wise with your surname. And [name]Juliana[/name] [name]Elise[/name] [name]Crow[/name] sounds positively princessy.
[name]Juliette[/name] - I prefer the more streamlined [name]Juliet[/name], [name]Juliette[/name]'s too fluffy looking for me (and reminds me of the cooking term [name]Julienne[/name]). [name]Juliet[/name] [name]Elise[/name] [name]Crow[/name] would be lovely.
[name]Anabel[/name] - I prefer the English [name]Annabel[/name] to the Spanish [name]Anabel[/name]. I say them both the same, it’s just [name]Anabel[/name] looks stilted to me. Could be because I’m not Spanish!
[name]Annabel[/name] flows, visually too. [name]Annabel[/name] [name]Elise[/name] [name]Crow[/name] is really lovely.
[name]Arianne[/name] - I liked this name when I was in High School! If my boys had been girls, it’s likely one of them would be [name]Arianne[/name] or [name]Ariana[/name]. I still like [name]Arianne[/name] but think she’s a bit too delicate (but then, my kids are brick-like and monkey-like (heavy & lithe) very un-delicate! Maybe yours will fit that image. 
[name]Chiara[/name] - You’re saying keer-ah? That’s lovely. It’s a bit singsongy with your surname, but in a nice way. [name]Chiara[/name] [name]Elise[/name] [name]Crow[/name] would be lovely.
Now some with [name]Elise[/name] in front:
[name]Elise[/name] [name]Penelope[/name] [name]Crow[/name]
[name]Elise[/name] [name]Katherine[/name] [name]Crow[/name]
[name]Elise[/name] [name]Vivienne[/name] [name]Crow[/name]
[name]Elise[/name] [name]Genevieve[/name] [name]Crow[/name]
[name]Elise[/name] [name]Carolina[/name] [name]Crow[/name]
[name]Elise[/name] [name]Francesca[/name] [name]Crow[/name]
[name]Elise[/name] [name]Cynthie[/name]/[name]Cynthia[/name] [name]Crow[/name]
[name]Elise[/name] [name]Victoria[/name] [name]Crow[/name]
[name]Elise[/name] [name]Fiona[/name] [name]Crow[/name]
[name]Elise[/name] [name]Kathleen[/name] [name]Crow[/name]
[name]Elise[/name] [name]Rhiannon[/name] [name]Crow[/name]
[name]Elise[/name] [name]Marguerite[/name] [name]Crow[/name]
[name]Elise[/name] [name]Sabrina[/name] [name]Crow[/name]
[name]Elise[/name] [name]Philippa[/name] [name]Crow[/name]
[name]Elise[/name] [name]Miranda[/name] [name]Crow[/name]
[name]Elise[/name] [name]Mariana[/name] [name]Crow[/name]
[name]Elise[/name] [name]Cassandra[/name] [name]Crow[/name]
[name]Elise[/name] [name]Georgiana[/name] [name]Crow[/name]
[name]Elise[/name] [name]Valentina[/name] [name]Crow[/name]
For me, [name]Elise[/name] is tough to pair with a middle. I’ve had bad personal experiences with two different Elises (and I keep typing [name]Elsie[/name] too! ARGH!) so it might be a problem with me, in general. I hope I helped a bit, at least and rememeber, keep your mind & eyes open. You may find “The” name when you least expect to!