As far as the tires go, I wouldn't hesitate to pump them up. Go to any autocross and ask people what pressures they're running--you'll be hard pressed to find anyone running as low as the vehicle manufacturer's specification because inflating the tire beyond that helps keep the tire from rolling over onto the sidewall in cornering and reduces scrub on the tread.
I have an 05, one year earlier than yours, and have the both grills blocked except for a 1"x12" horizontal slot to let air into the lower opening. We've been up to 91 here in the Midwest already with no observed effect on engine temperature. Try a temporary block first, and if you have cooling issues open it up a bit until you find the right size.
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