Let me see. So you found a mod in your mod list, and checked it's file path. Then you went there, to find a folder with the name of the mod, but no modified files inside! This is normal. If you simply have a folder with a name in the proper mod-version folder, the mod will appear in that version of sins.
Did you try to somehow look up where to modify game files by looking through crap while the game is running? That is a terrible idea. What you want to do is look for a file called SINS_modset. It is in the ForgeTools 3. It will tell you where files should go when you modify them.
I don't know why you had a minidump, though. You must have screwed around and saved a file there, or modified a file somewhere in a way that the game cannot make sense of it. If the game is capable of making sense of why you had a minidump, it will tell you provided that you go to the secondary Sins of a Solar Empire directory (the one that is not the install location; this is the directory that is located in AppData, C:\User for Vista, something else for XP). When you reach that secondary Directory (This directory is probably where your game told you the location of a mod or something was), go into the folder called Settings, open user.settings (or simply user with file type settings if you've already opened a similar file, or it, into a word document), with a word document. Notepad is preferable, as it can unwrap.
Inside of it, change "ShowErrors TRUE" to "ShowErrors FALSE".
That should tell you what is causing the minidump, if the game is able to make sense of what is causing the minidump. If you're in the same situation as I currently am in... or a situation that is similar, you're SOL.