The best way is to try it out.
Make a block of it in a makeshift press of some kind, like two nesting buckets whose sides and bottoms won't give out. I would stand the buckets on a flat, hard surface, and find something unyielding that will fit the inside of the inner
bucket to keep it from bulging up.
Then mix up your rammed earth mixture, place it in the bottom of the bottom bucket, place the top bucket atop it with the reinforcing metal plate/paver/rock/whatever, and then either get inside and jump up and down on it, or find another way of applying pressure.
You can then take the resulting cylinder out (I would grease the bucket like a pan before you load it with earth to facilitate this), and subject it to any standard masonry tests. You will find out in short order whether or not your recipe worked.
I admire your enthusiasm for rammed earth, but the wall thickness is typically much more than what you'd find on kitchen island walls. An alternative to this that would result in much more interior storage space would be to build an island structure and prepare it as a matrix onto which you can apply
cob. You don't need masonry to support a kitchen island.
But let us know what you decide, and good luck.
-CK
A human being should be able to change a diaper, plan an invasion, butcher a hog, conn a ship, design a building, write a sonnet, balance accounts, build a wall, set a bone, comfort the dying, take orders, give orders, cooperate, act alone, solve equations, analyze a new problem, pitch manure, program a computer, cook a tasty meal, fight efficiently, die gallantly. Specialization is for insects.
-Robert A. Heinlein