The body will obviously be a lot of work, but you might be able to make the suspension components more aerodynamic with simple cardboard wings-shaped covers at first and you can do runs to decide if it's worth the effort to go do more permanent suspension covers.
I also think a slightly curved belly / floor would allow for air to remain attached for longer than a flat floor, but that obviously depends on the design.
Good luck. Looks like uber fun!
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