( you could achieve this by just setting the oven temp to high and plugging the oven into an outlet)
Sorry, this will burn out the fan a lot faster. The PID can/will turn the elements off and on rapidly to maintain a certain temperature, flipping fans off and on rapidly will shorten their life span. It is recommended to wire the fan directly to its own power source and turn it on when you turn the PID on leaving it running the whole time the oven is on.