I would suggest you narrow down exactly where on the Outer Banks you want to be, as there are realtors who specialize in different areas -- e.g. Corolla, Duck, Southern Shores, Kitty Hawk, Nags Head, Avon, etc. There are certainly houses of that size available for rent, but in Duck they would probably cost twice what you'd pay in Avon. So your budget will be a determining factor (especially when you consider the premium payable for oceanfront vs. a few rows back), as will how close you want to be to amenities like restaurants and shopping.

FWIW, my last two rentals were in Corolla, and we used Corolla Classic Vacations.