1997 Chevy Camaro Cylinder Misfires

My engine is misfiring in very weird ways. The computer is giving me a multiple misfire message so we have checked Spark plugs, wires, coils, fuel filter and cleaned our my air filter. What happens is it misfires when it is idling and then anytime I press the gas peddle down more than an inch or so it almost chokes out and cannot accelerate until I release the pedal back out. Any help would be greatly appreciated! Thanks