Although the desired angle could be done through hand planing, with time pressures i decided to risk running the drawer fronts through the planer using and angled jig i constructed, as opposed to hand planing similar to how winding sticks are created.
The jig was created by laser cutting two triangular pieces of acrylic in the shape of 5 degree angle (from 90 degree shape) to use as spacers for adjusting the height/ angle of the jig. This angled length of wood was placed between two pieces of timber and screwed in at the angle of the laser cut pieces. the walnut was placed in the angled gap and ran through the planer, gradually decreasing the thickness of the wood each time, causing the angle to increase to the correct measurement.
The walnut now has one flat surface, and an angled face, and will sit on an angled false front, to increase the angle in order to achieve the desired aesthetics, and a bevel will be applied to the bottom edge of the drawer front, so they will be flat and in line with the drawer sides.