Sol over at SNAFU has suggested that the ship to shore problem could be solved by keeping ships in the deep blue, using LCACs to drop the swimming tanks near to shore.
Its a very good idea.
I still think the better one is to give up the swimming tanks idea and just drop land tanks directly on the beach from LCACs.
It does of course present problems landing, being a big fat target isnt fun.
May I humbly suggest an ACAC(?)
Now obviously, the best option remains to land where they aint.
But a converted ACAC, or familiy of ACACs carrying massed rockets and automatic mortars could thoroughly service a quite large area of shoreline and beachhead.