The company's name is "Radiant Webscapes".
The "radiant" part is meant to convey "radiating, glowing, beaming" (i.e. the sites I'll build will make my clients stand out from the rest).
The "webscapes" part is mean to convey "landscape" in a web browser. That is, something that is "harmonious, beautiful, encompassing". A definition of "landscape" I found helps describe this as well: "something which the eye can comprehend in a single view, including all the objects it contains".
Ideally, the logo will "imply" the company name even when the words aren't present. A good example is the Apple Computer logo, although mine doesn't have to be quite that literal.
So I'm thinking about something that looks like a simplified landscape (stylized grass in foreground, rolling hills, blue sky, sun, etc.) with some kind of "radiating" effect, such as a "sunburst" (see this image for an example). But this is just my lame-brain non-designer idea; feel free to explore many other ideas.
In case it helps, I've collected some logos I like and threw together a little web page explaining what I like about each of them. See Logos I Like.
[Please let me know if you are available for future ongoing work. Many of my clients will need their own logos created, so I'd like to have someone reliable to work with.]