Evade hell launch a strike at the twins. Between them Ark Royal and Glorious have squadrons of Swordfish, Skuas, Sea Gladiators and a single squadron of RAF Hurricanes. Put FAA pilots in the Hurricanes for top cover with Gladiators as a reserve, and have the Swordfish and Skuas attack the twins. The Skuas will distract the AA gunners and wreck the twins superstructures and ranging equipment while the Swordfish attack with torpedos and should at the very least damage the Germans enough to force them to withdraw with the Home fleet in hot persuit. Land the strike rearm and refuel then do it again and hopefully finish them off.
This gives the RN a much needed victory and pulls the rug out from under the Gunnery specialists who claim no aircraft can sink a capital ship at sea.
The elimination of the twins would allow an extra fleet carrier to be assigned to the Med and come October to join the Illustrious for the strike at Taranto to knock out the Italian Battle fleet.