For a large...> 3M plane, this effort might pay off, but in the 2M and smaller sizes the effects will be minimal.
Generally, such a multi-section wing uses profiles with similar characteristics, but with the tip section selected to have its greatest effect with an angle of attack where the root is stalling, so the tip remains flying.
Look at the Cl-alpha curves for each profile, and select the tip to have a later stall break than the root.