SOLUTION HAS BEEN FOUND!
Took about 3 hours [of frustration], but figured it out. After installing the Construct 2 r56 (for reasons of troubleshooting) got the same error message (i.e. cannot open c2runtime_min.js) PLUS debugging data (which is actually really cool). At this point, I'm convinced the problem is with MY computer's software, and not Construct. Debugging data is as follows:
Function: void __cdecl Exporter::DoExport(class era::IProject *,class era::ILayout *,bool,struct HWND__ *)
Build: release 56 (64-bit) checked
Component: HTML5 exporter
(Last Win32 error: 2)
Found a random forum about unrelated Java bugs, and decided to see if I have the same version. Upon opening CMD and typing in the command "java -version", it reports back with a similar worded error: "Error: could not open `C:\Program Files\Java\jre6\lib\amd64\jvm.cfg'" Boom. It is a problem with java. Now keep in mind, this is even after having updated Java to the most recent version (version 7 update 67).
Decided to take another look at the Java files on my drive... noticed something out of place.
The Solution for me: Delete the JRE folder in WINDOWS; it doesn't belong. C:\WINDOWS\jre
Very strange, but it works likes a charm. Minify Script now works, as does java -version command in CMD.
Hope this helps you guys out!