Marine salvage operations can do it. In fact about 21 years ago, a 650 foot ship (the New Carissa) grounded on the beach about 50 miles south of the whale location. It broke apart, but the salvors were able to float and tow a 440 foot section back out to sea to sink it.
All things are possible with sufficiently large heavy machinery, but that's an interesting comparison because what they had to work with when salvaging that ship was not actively decomposing.
There actually are trash dumpsters large enough to hold this whale. I'm not sure it'd be necessary to tow it out to sea, but maybe that's not as hard as it seems to someone like me who doesn't know the process.
See https://en.wikipedia.org/wiki/New_Carissa