Either works pretty well. I agree with pp that it is a lot of alliteration; that’s less a deal-breaker for me than it is for others, and I don’t know how often you’ll going around saying both of their full names together.
I agree that [name]Clover[/name] might be better as a nickname, it makes me think of lots of things like cover, lover, clove cigarettes, over, cows chewing clover, lucky clover. None of those is actually particularly bad or anything, but it does make it seem more and more like a word and less like a name. [name]Chloe[/name] means “green shoot”, so it’s still a nature name, although it might be way more popular than you want.
[name]Waverly[/name] is very pretty, but I also thought of Wizards of [name]Waverly[/name] place, and somehow it makes me think of crackers, maybe there is a brand of crackers with this name or something similar? Neither is awful, and I mean, I love the boys’ name [name]Graham[/name], which is also a cracker.
With someone named [name]Waverly[/name] with your last name I can imagine from time to time people will look at her name written and assume the last name came first by accident, and call her [name]Kirsten[/name] [name]Waverly[/name].
In the end, either could work, I prefer [name]Waverly[/name] slightly.
You want something nature-y, and maybe especially associated with the ocean, if you are interested (and my apologies if not) here are a few more I can particularly see with [name]Kai[/name] and your last name:
[name]Ahava[/name] - Hebrew name referring to water (has a v in the middle : D)
[name]Maren[/name] - Danish take on [name]Marina[/name]. [name]Kai[/name] is used in many languages including the Scandi ones, so this fits.
[name]Marina[/name] - Latin for of the sea
[name]Meredith[/name] - Welsh for sea lord, hits a bit of the last-namish feeling of [name]Waverly[/name]
Moana - (claims the website) Hawaiian for sea. Could go with spelling [name]Mona[/name], too?
[name]Naida[/name] - Russian via Greek, water nymph
[name]Nereida[/name] - Latin via Greek, water nymph
[name]Nerida[/name] - also gets listings for Aboriginal Australian - water lily
[name]Nerissa[/name] - Shakespearean, alluding to water nymphs
[name]Palasha[/name] - Russian for Latin [name]Pelagia[/name], the sea
Pamuya - Hop for clear water
[name]Romy[/name] - contracted from [name]Rosemary[/name], supposedly “dew of the sea”
[name]Tallulah[/name] - Choctaw for jumping water
Tasi - Chamoru for his/her sea
I’m sure there are plenty more out there. Best wishes!