Affibody molecules are small affinity proteins that have excellent properties for many different applications, ranging from biotechnology to diagnostics and therapy. The relatively flat binding surface is typically resulting in high affinity and specificity when developing binding reagents for globular target proteins. For smaller unstructured peptides, the paratope of affibody molecules makes it more challenging to achieve a sufficiently large binding surface for high-affinity interactions. Here, we describe the development of a new type of protein scaffold based on a dimeric form of affibodies with a secondary structure content and mode of binding that is distinct from conventional affibody molecules. The interaction is characterized by encapsulation of the target peptide in a tunnel-like cavity upon binding. The new scaffold was used for construction of a high-complexity phage-displayed library and selections from the library against the amyloid beta peptide resulted in identification of high-affinity binders that effectively inhibited amyloid aggregation.