I just Googled "WW2 aircaft carrier" onelife and found an article on the Graf Zep.
Apparently she was scuttled by the Germans in 45 just before the Russians overran Germany, but was refloated and towed back to Russia.
Her final fate was to be used as target practice by the Russians.
Aerial bombs were placed in her hangers, flight deck and smoke stack.
She was then bombed and shelled by aircraft and warships, but after 24 hits from a combination of bombs and warship shells she was still afloat, and had to be finished off by torpedoes.
It also says the Germans didn't have the carrier design experience of the British, which suggests to me that the Illustrious class would have had even better attack resistance.
Obviously under those circumstances the Graf Zep didn't have any cargo onboard ( fuel, ammo,aircraft) although with bombs placed inside her and presumably detonated before resorting to torpedoes, she had the next best thing.
But somehow i still don't think a destroyer or two could have much effect
Just kiddin with you mate, don't take it serious fgs lol.