Airships or airborne aircraft carriers have practical, as well as technological, problems that will keep them from being made. Lighter-than-air vehicles (like blimps and hot-air balloons) of such great size are too slow and large, making them very easy to shoot and too inefficient and hard to manage for commercial uses. Heavier-than-air vehicles require constant energy use to stay up (as in thousands of pounds of fuel even for a normal-sized jet to fly for just a few hours), and it's worse the bigger the vehicle is. Militarily, a regular aircraft carrier or weapon-ship (frigate, cruiser, destroyer, battleship) has no disadvantage compared to a flying version so there'd no point in bothering even if it could be done.
Lasers are being worked on for possible future use in airplanes such as the F-35 because of their long range and instantaneous delivery. The same features would also probably make them good for anti-aircraft defense of ground facilites and major sea ships, which could handle the mass and power requirements better than an airplane could. So far, it hasn't yet been possible to make one small enough that's also powerful enough. What is "wind scale damage"?
Hydrogen fuel cells are not a power source but a power storage medium; you still have to charge them up somehow, whereas oil in the ground is already charged for you. So using them takes us straight to the question of how to generate electricity. And without building new dams, the best way to do that for now is nuclear fission. It's proven, it's safe despite the propaganda to the contrary from environmentalists who seem bent on working AGAINST the environment, new techniques can actually use old waste as fuel again to extract 20 times as much power from it and suck out almost all of the radioactivity, and the known fuel supply is enough to sustain current consumption rates for at least a hundred centuries (if not thousands of them).