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If stability is problematic, making the hull narrow and deep is the opposite of what you want. What you will want is initial stability, which is best provided by a slight increase in beam.From what I see, the main constraint is going to be those drink boxes. They are going to limit the narrowness of the beam. With that constraint, you will want the hull as narrow and deep draft as possible, giving that bottom plate as long an arm as possible so the boat does not capsize.
..I was not, nor am I an academic, e.g. I
have never given a lecture.