Zinc would actually be better (but not good) in a marine setup than freshwater. Zinc is soluable in acidic conditions and will deteriorate quickly in a soft acidic aquarium chemistry. In a marine setup, zinc will hold itself better but, is toxic to many inverts. Your fish need zinc but, get all they need in a balanced diet. In the long run, it's best to keep any additional zinc out of all of your aquariums.
Use stainless steel as recommended above. Or, use plastic/polyethylene screws, washers, and nuts (like those sold to hold toilet seats to the commode). An inexpensive tap will provide the threads in the driftwood to screw the plastic hardware into.