I don't believe it will be practical since you will be generating aerosols with metal contaminants. The arsenic, lead, and cadmium will be of particular concern.
To recycle water in a cooling tower in California, you probably need to achieve the title 22 standards. Title 22 of California's Water Recycling Criteria refers to California state guidelines for how treated and recycled water is discharged and used.
The cooling tower will also have a blowdown stream where the contaminants will have been concentrated 6-10 times by the cooling tower cycles. You would then have to treat that blowdown stream as well.