One of the main reasons to take air into the front is the radiator. Can you move the radiator to the rear of the car, fan the air from under the rear, through the radiator, and exit it through a new grill between the tail lights, filling in that low pressure area? You can use a much smaller front intake, perhaps a small thermostatically open-able chin intake where you can reduce under-car flow,, to vent the hot engine compartment air out behind the front wheels, where there is a low pressure area.
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