Looking at the profile of the 05 Mazda 3 it seems to be pretty dialed in aero wise, anything small you do in the back will not yield much, if any, reward. Tire pressure (as high as you're comfortable with, I do 38), driving habits, as well as any kind of complete upper grill block, will be quick, cheap, and easy. Alsoa partial lower grill block, and air dam. I stuffed pipe insulation into my Honda upper grill slats,
it doesn't need to be smooth, it just needs to stop the air from going into the upper grill area, so it can be behind the grill for a cleaner look.
These will push the air over and beside your car and avoid going through the engine bay and underneath. Your cooling system is designed to cool the car climbing a mountain fully loaded in death valley in July. If your air intake is positioned right, it may force more hot engine bay air into the intake which improves MPG's as well.