First things first..... In SPR, they landed at the Dog Green sector of Omaha. You'll need to get a good look at the terrain you want to model, so some D-Day beach photos are needed. In SPR, they landed on the Dog Green sector of Omaha Beach, so use Google Image to locate some Overlord landing maps & photos..
Then, use a sheet or sheets of paper along with mock-ups of your vehicles to determine how big a base you'll need. To have a swamped tank, you'll need a fairly large (depth-wise) base in order to model the tank and LC in deep enough water, or if you want to compress it, you can cut away the majority of the tank & LC hull... You know, eliminating anything below the "water-line"...
Just off the top of my head and knowing how big the two kits are, you're going to need a base that's 2 1/2 feet by 1 1/2 feet for the LC alone... Stik's right about the LCT/LCM question, but if you don't care about that, the LCM (I have the Trumpeter LCM in mind) is about 16-18 inches in length... So forget about the "It's not gonna be that big" idea... Yeah, it's gonna be big... Not huge, but bigger than the average armor diorama by about 2 1/2 times...
I suggest you do a mock-up and post the photos here so we can help you a bit more with the layout phase.. Most beginners try to cram too much into too little space... Or, they'll have a huge base, and try to fill all the resulting empty areas with a lone, unrelated figure here, a junk pile there, a barricade here, etc, with no rhyme or reason behind it..... You want the objects in the diorma placed so that they direct the viewer's eyes around the dio, each one leading to the next element.
So, do a mock-up and let us see what ya got in mind... You're quite a ways off from worrying about what ground materials to use...
Also, and I tell this to EVERY new diorama builder, is to buy a copy of Shepard Paine's book, How to Build Dioramas... If you only ever buy ONE modeling help book, this one's the Bible. Also, you can also go to the website below, and read up on the diorama tips that Shep wrote for his Monogram dioramas back in the 70s... Print them out...
http://sheperdpaine.com/monogram/index.htm