I'm also scratching my head about the use of a coupled inductor.
Based on the frequency you have chosen, You must first have to do your calculations to determine the minimum inductance value, to maintain continuous conduction mode...for the power level you require, you must use CCM to keep peak switch currents at a manageable level.
Find a core that can support that much energy LI^2. And that has the window area to wind the number of turns with a large enough copper cross-section to carry the full current.
And Now the fun begins. Even though you are using a relatively modest frequency, there will be skin effect issues if you use a thick copper wire. This means that the inductor will most likely have to be copper-foil wound. Since you have two isolated windings, you'll have to add insulation between the two independent foils, and you'll notice that even though the insulation appears to be thin, it starts adding up quickly and consuming the window area. You could find that the required number of turns simply won't fit into the core.
If you plan to use actual copper wire instead and use bi or trifilar strands for each winding, the situation becomes even worse.
Bottom line. Research first the feasibility that you'll be able to actually build the required inductor.