It would appear that they haven't gotten around yet to declassifying the studies that are directly related to the design. However, the earliest mention of it that I've been able to find so far (via a reference) is in the 1988 Surface Combatants Force Requirements Study, which recommended the MEU as a replacement for the
Iowa class Battleships, indicating that a fair bit of preliminary work on the concept had already been carried out at that point (serious work is likely to have started in January of that year, see below).
Some more clues about the design can be found in this unclassified
1991 CSC paper, which, while it does not mention the MEU as such, does provide some insight into the prevailing school of thought (the so called 'Revolution At Sea') behind it, and the design principles that flowed from that origin, such as the fact that it would have had an integrated electric drive.
Some of the relevant material:
In order to determine the future operational requirements
which dictate the design and construction of Navy ships, two
Revolution At Sea studies were conducted: the Surface Combatant
Force Requirements Study and Ships Operational Characteristics
Study (SOCS). A three-star led work/study group, called Group
Mike, was organized by the Chief of Naval Operations (CNO) with
a charter to improve the reliability, maintainability, and
survivability of surface combatants of the 21st century. (6:37)
The SOCS "Operational Report" spelled out 12 imperative
characteristics for future ships, within four priorities:
Priority A: Cooperative engagement in all mission areas;
integrated machinery systems; survivability and the ability to "fight hurt."
Priority B: Embedded readiness assessment, mission
planning, and training; condition-based maintenance; torpedo
self-defense.
Priority C: co-location of ship control and combat information
center; access control and security; alternative (peacetime/
wartime) use of volume.
Priority D: Smooth topsides; new information management;
organic aviation and other off-board vehicles. (10:72)
Early efforts at designing the Revolution At Sea ships actually
started in January 1988, as engineers at the Navy's David Taylor
Naval Ship Research and Development Center in Annapolis and
Caderock, Maryland, and the Naval Surface Warfare Center at White
Oak, Maryland, started identifying technologies that showed promise
for achieving the goal of total weapon systems for the new family of
warships. Design work is expected to continue until the mid-1990s,
when the Navy will request funds to acquire the ships. (10:70)
According to Admiral Metcalf, if the Revolution At Sea is
successful, the warfighting design policy for the U.S. Navy will be
to maximize a warship's ability to deliver ordinance on target.
Ideally, in such a ship, the internal volume should be all weapons.
In a future strike cruiser, for example, this might mean cruise
missiles in Vertical Launch System (VLS) cells from stem to stern--a
modern-day HMS Dreadnought. (The Dreadnought was the first "big"
gun battleship in which the battle space was measured not in yards
but in miles. (6:38)