There wasn't "another Audacious design". The historical order of carrier design (not construction) was:-
Illustrious class
Implacable class
Indomitable (modified in 1938 while building)
1940 carrier (re-ordered in 1943 as an Audacious class see below)
1942 Audacious class
1943 Malta class (armoured design)
1944 Malta class (open hangar design)
The 1940 carrier (tentatively named Irrisistable) began life as a minimally changed Implacable. It had, extra deck protection, 54 (narrower) aircraft capacity, increased petrol storage, wider flight deck, increased hangar height, larger forward lift like Indomitable. The design was further developed through 1941 growing to 27,000 ton standard displacement with 4" armour on the flight deck and was approved for construction on 28 Nov 1941. It was ordered from Cammell Laird in March 1942 but was not laid down as this design.
These details come from Friedman "British Carrier Aviation" but there have been no published plans so far as I'm aware.
Meanwhile in early 1941 designs of a completely new carrier began. Friedman notes these early designs have been lost. Over the next year these were developed into what became the Audacious class, approved as a sketch design in March 1942, with final approval in Sept 1942. Two ships were ordered in March & May 1942 as Audacious & Eagle.
Around the time that the Audacious design was approved, the Admiralty decided that the 1940 carrier should also be built to the new Audacious design. She was laid down in 1943 as Ark Royal 4.
At the end of the war the Eagle was cancelled while still on the slip and then in 1946 Audacious was renamed Eagle before launch.
When the design of the 1943 carrier began, the initial choice was an armoured carrier that was in broad terms an enlarged Audacious. Then it was back to the drawing board in 1944 for what became a completely different carrier in the final, and never approved, Malta design.
