Duke TIP has a talent search program for 4th and 5th grade students as well as the more widely known 7th/8th grade talent search. TIP program kids get access to online classes with other gifted kids, reduced rates on Duke's Independent Learning materials, the chance to participate in the writing the contest you mentioned, and out-of level test scores that can help with appropriate placement decisions at school, among other things. Starting in 7th grade, TIP participants can attend in-person college-level summer programs with other gifted kids hosted either at Duke or a few sister institutions.

My DS15 has participated in Duke TIP since 7th grade, and really enjoys the chance to interact with other gifted kids who have similar interests. He keeps in touch online with a number of the kids he's taken classes with. I'd say the best parts of the program are the opportunity to access above-level learning and the opportunity to meet other kids who are more likely to be true peers.