Can you not attach one of your new fans to the fan header plug on the PSU board, then you wont need to trick it, cos it will have a fan.
Fans really only come in the 3 basic configurations 2,3, and 4 pin. Its only the 3rd pin that provides any signal back to the computer (tachometer), so the only thing your PSU can measure, except maybe the current draw (but I think you have rulled that out).
The vandalised fan, how many pins did it have, three? I looked for the spec sheets for you 60mm fans, but what wasn't clear was the number of pins on the connector. If it has three pins you should be good to go.