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Have you ever heard the saying
" if you are going to cheat, cheat within the rules"
Investigate a dry ice shelf inside the airbox.
Water injection.
Smoothing the restrictor does work, as you will know from your venturi/restrictor plate examples in thermofluid dynamics class. Cd ,90/.65 repectively. A laminar flow surface (though golfball dimples?) will also help.
In short, losses here are magnified throughout the system.
Also, forget wings, they are not effective at the speeds you guys run, and add uneccessary weight.
Hope even one word of this gives you an idea that will help.
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