Direct ocean carbon capture (DOC) is an emerging form of negative emissions technology that requires expedited characterization and comparison against more well-established forms of carbon capture. Using microencapsulated solvents for DOC affords large membrane surface areas for carbon dioxide (CO2) in the ocean water to flux across a gas-permeable membrane, and reversible regeneration of the contained solution. The feasibility of using a packed bed of Na2CO3 capsules to extract CO2 from seawater is assessed here through lab-scale experimentation, one-dimensional modeling, and techno-economic assessment (TEA). The experimental flux measurements match the flux predictions of the 1D model, validating the model. Parametric studies with our capsule bed model suggest that for a balance between pressure drop and breakthrough time the optimal capsule diameter is between 400-600μm, the optimal bed porosity is between 0.5-0.7, and the optimal seawater velocity through the bed is 0.10-0.15 m/s. The TEA estimates that the carbon capture cost of a 1 MTonne/year greenfield system using Na2CO3 capsules would be exorbitant: $8,977.14 per tonne of CO2. This work demonstrates the potential of using microencapsulated solvents for direct ocean carbon capture and illustrates a need for further research to reduce system costs.