The AC will radically increase engine load and temperature in a two fold problem. Your AC has a small radiator usually in front of the radiator proper or beside it. Either way its going to diffuse heat from the refrigerant onto that and accelerate the heat problems. Rolling the windows down helps out in a 2 fold way. It keeps you cool and it creates vacuum(more) on the air lines and pulls air through the engine bay via your heating ducts.
Another option you might be able to accomplish. . .If you aren't going to do an air dam you could make a small scoop for the bottom of the bumper to redirect a little bit of that airflow in an aero "convenient" spot. It keeps air from flowing under the car and causing issues, creates downforce(minimal) and cools the engine bay a bit at less of an Aero cost.
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