I suggested an amphibous convoy when I first started playing.
The ability to bring tanks ashore, either with LCT or even DD Shermans, adds an element to the game that we currently lack, as a single tank, or even an Osti or WW can run roughshod over LVTs.
LCTs, depending on the variant, carried anywhere from 4 to 9 tanks. Launch as single tank, or post it as a launch mission to have multiple GVs in a single ship. When the LCT is on the water, you have access to whatever light weapons were available on LCTs, usually only a few single 20mm guns. You also have the ability to be sunk. Once the LCT is beached, your screen switches from ship to tank and you're off and running. Not overly realistic historically, but...
DE's (or dare I say, APDs!!) can provide close in 5" support while the task group stays offshore.