Um, how did you plan to adjust the voltages if not by opening the case?
So, did you manage to install the fan? Or will you be seeking a replacement for round 2? What guide did you use to install the fan? Or did you just "wing" it yourself?
Did you test your +12-V supply to make sure it was optimal before adding the additional load? The fan specs should be approx. 0.9 W @ +12 V DC (+/-15%)/120mA. You splice it into the J4 connector. Red to yellow (pin 10), black to violet (pin 7).