pull sting to turn off electrical socket

[davemchine]

I have a ceiling fan in my bathroom that turns on whenever the light is turned on. It can be annoying. I had an electrician come out and he said to put it onto it's own switch would involve tearing up the wall etc due to the way the wiring was done. The ceiling fan sits in an enclosure and uses a normal two pronged plug so I was thinking a pull string would be a satisfactory solution. There's maybe an inch to a inch and a half of clearance between the plug and the cover so using some sort of light socket arrangement wouldn't work. I'm open to any suggestions, thanks.
Dave