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but I didn’t have enough arguments to use only two elements.

You don't? As far as I know, even in the most extreme case, you should be able to switch to a Logos/Ethos deck, or an Ethos/Pathos deck. Swap one of your non-Ethos arguments with Law and Order. 

Tricolor decks are still workable, but they're tricky to wrap your head around.

Now I do, but at the time, I had 2 for logos, 1 for pathos, and 1 for law (forgot what that is called)

Maybe try something like 9-8-4 distribution of premises? That works great for me.

Beat it now, used a 10-5-3 distribution (10-3-5?) After building a decent deck, I beat the professor pretty easily.