On my first view, everything you put in place made sense to me --- the blob shape, the tree, the font --- the customer should be happy with what you've presented. It's sufficient for a nice layout.
However, like the others, I'm hung up on the font but don't have a solid solution for an alternative.
Sophia Script has a similar feel without the swooshey-ness. And
Alpine Script has a nice weight.
I like Neato's contrasting font layout.
(I don't like that script, either) That concept can give a nice upscale feel to the logo and offer an alternative type-only mark to the customer.
And finally, if you choose to use the Palmetto tree, I would try to give it a more hand drawn feel. A simple solution for that may be just using an Illustrator brush on the vector paths. or printing it out big and augmenting the lines with a Sharpie. --- Ideally, it would be entirely redrawn or simply dropped.
(When I was in Arizona, I got real tired of drawing cactus logos. I don't know what the mandate is for South Carolina logos and Palmetto trees. But make it more custom if it's part of the state's logo law.)
Great start! I'm looking forward to see how this progresses. Thanks for sharing!