Hi,
I really like your original shapes for the canopy because they are strong, solid, and extend over the name without being to "busy". My thought was to keep the shap of the top layer except to flip/turn the upper part around so the upper part of the top layer faces "forward" and the bend of "S" is only in the skinnier middle part and very slight. The two back shapes when looked at together already kind of look like a "G" in that the far back layer makes up the top of the "G" and like a hindge at the middle of the back curve, the middle layer forms the bottom of the "G" with the tag inward, while keeping the right side large "tongue" looking part that extends over the name. Very, very subtle is ok. I wonder if a little green included (between summer and fall) would help. I also looked up fall leaf colors online and common is a dark brown/red color. I sure wish there was a way to draw something and attach it as a scan to this comment.
I also don't like yellow letters since it is so hard to see, especially for those with vision issues, when bright outside, or whatever. Perhaps black or dark blue (I did like the orange color of #9 that matched some of the canopy). The name should be readable when put on the side of a hot air ballon and a distance away. But not blocky since it also has to work on paper / website. The "S" and "G" standing out since I often abbreviate the company in unofficial communication as "SG" already.
I like the trunk when you had it darker brown, a more contrasting color to the lighter canopy.
If a "SG" in the canopy does not work, then what do you think of something to the left of the tree. My first inpression is that is too busy, but you are the expert.
It must be hard to try and use words to communicate about art. Thanks.