http://www.doe.k12.de.us/ is the site for DOE in Delaware. This will list all the districts in the state with links to each.
www.capegazette.com is where the Cape Henlopen District advertises. As you will see different districts use different avenues to advertise. To be near the beach, Cape Henlopen or Indian River SD will be the best proximity. Milford SD is no more than 30 from Rehoboth as well.
Best of luck in your job search. Great place to live and work.