Hmm, you have some stuff in there that sounds, well, extra and maybe will lead to hassles as you go.
First of all, ZoomBrowser may not be needed at all. I'm don't know that Lightroom can these days "read" from a camera, although it can now do tethered shooting with most recent cameras. It would be worth finding out, maybe someone here knows and can chip in.
For me, I've been using a card reader for a long time -- they are high speed and also have less "stuff" to deal with in the way of special drivers and interfaces. So I use Lightroom to import, create and name my folders, and name and save my files. Then I can just use the camera to Format and I'm done.
And then, the next thing you mention is exporting jpegs onto your desktop. Well, wow, that would make a cluttered desktop! I only export files out of LR that I want to use, either for the Web, an outside printer, or for some type of "sharing". When I export for the Web, the jpegs go into a folder on an external hard drive with a structure set up for PBase (my Web host), and then off they go. For printing, they'd go into another folder (large files for the printer). For other things, whatever. But on the desktop? I can't imagine the clutter!
Now something I'm confused about -- are you saving a copy of your original Raw file? When you say you do this after cropping, well, a Raw file doesn't get saved "cropped", as long as you are referring to a CR2 file. If you mean you are saving/exporting an image file after cropping, so that you can print it or edit it in an external editor, well OK, but that wouldn't be a Raw file it would be either a tiff or psd for editing or a jpeg for printing or whatever. So, you'll need to be more specific about what you are doing!
And, I personally avoid making any Export/conversion "copies" of an image unless I'm done with the Raw processing and I'm ready to put it out on the Web or print it of need to use an external editor. Lightroom is capable of so much that really I don't need to bog thing down with "extra stuff".
As far as making a copy of something "after cropping" I'm not sure what you are getting at there. Lightroom has a cool capability called "Virtual Copy" where you can right-click on an image (or multiple selected images) and when you choose to Create a Vitual Copy it creates a new "version" of that image in "memory", not as a file on your hard drive. You can then take each version of the image and go in totally different directions with it. And, you can export both the original version and the virtual version at the same time, and LR will give them each their own name and save them.