Map scale, or 'Mech scale?
Map scale, the USS Nimitz class carrier (332m long), and comes out at 11 hexes long, 2 1/2 hexes wide. Which would look quite silly next to a current mini.
Mech scale, at theoretical 1:285, it's over 1m long (3'10" for USAians). 1/300 scale kits would be near enough for government work.
Then there's these:
Look for '3D puzzle aircraft carrier'. They're foamboard, easy to assemble, and probably just a little smaller than 1:285. Unfortunately I can't find the photos I took of the one I built right now.