Strap it to a Falcon Heavy.
SuperHeavy will have 17 million lbs of thrust so if Elon could deliver 25 SuperHeavy boosters with a total of 700 Raptor engines it could lift the Ever Given? Someone should simulate this in Kerbal.
I like movies where I can suspend belief (monsters and giant robots), but I hate it when they get the regular real stuff wrong.
I read in a random news story that the Ever Given's displacement on this voyage is about 220Kt.
Note that the units are long tons, which means that ship weighs close to 250,000 american tons, or five hundred million pounds.