To help you view the area schools, Nashville schools are Metro Nashville Public Schools and the surrounding counties that should have homes in your price range are Sumner, Wilson, Rutherford, Cheatham, and Robertson.
We can't "steer" you toward any particular area, but I think it's often great for the parents to check into the schools and narrow their search from there. You can narrow the results to public elementary schools. Once you've decided on a few schools zones your realtor could tell you which zones have homes meeting your requirements in your price range. If you aren't working with a Realtor feel free to contact me with any additional questions.
I would love to chat with you to learn more about you and your family, and what your more specific needs and wants are. I have earned the designation of Accredited Buyer's Representataive, which is awarded to those agents who meet certain criteria in sales and continuing education. I'm 100% confident that I can find you the perfect new home in Nashville.
Please feel free to give me a call at 615.582.4783 or email me at firstname.lastname@example.org.