Ah, I see. Well, in BrawlBox, 0.68's lighting is much better than the other versions, so download that if you haven't already. Only problem with 0.68 for CSPs is that some models may not load up at all due to null errors or something.
Next, load up the model, then go to Options > Viewer Settings. The "Lighting" section is what you'll want to change. As an example, here's what I use for my Mario pose:

The only thing I change between characters is the Azimuth and Elevation values, for different heights and that. Otherwise, the lower area (Ambient, Diffuse, Specular, Emission) stay the same for me. You'll probably want to mess around with those until you get something close to ingame lighting.
The next step is optional, but I recommend downloading either GIMP or Paint.NET (both free) to touch up the BrawlBox screenshots. You'll have to search up where it is, but both of them have something called a Levels adjustment, which modifies the blacks and whites in an image, to give better contrast. Play around with the slider until you're satisfied, then note the values so you can repeat it for the other screenshots.
I don't really have any experience with GIMP, but if it has a feature like Photoshop's actions, I recommend using that to automate the process!
Photoshop is a bit tougher to explain, but if you're interested in learning it, I can help you out with it.
Hopefully this helps!
Shun, I'll send you something in a bit.