It won't hurt to run the fan, but like mentioned, there are other options.
My wife bought a couple of noise machines (not sure of proper name). We use one at home, and one in the FW. They use very little power, and are natures relaxing sounds. There is about 8 sounds, volume adjustable, to choose from. I like the bubbling brook. I can't remember all, but there is ocean waves crashing, birds chirping, plain white noise, and others.
Jerry