Process to separate Lauric Acid from Coconut Oil
With respect to economy, waste management and regulations concerning food processing, your current approach, a solvent-free crystallization, is probably the most reasonable approach.

There's a Unilever patent which claims that the crystallization, both stirred and quiescent, is significantly improved by addition of sucrose laureates.

The patent holders attribute this to the observation that the additive leads to the formation of 


  large and non-porous spherulites, which highly increases separation efficiency