Dave:
Of course you can use the wood that came in the kit, but I suggest trying a couple of blocks off the model first to see if you are happy with the result. IMHO you will end up with a hull that looks like it is made of little green wood blocks. Copper plates were also put on over the hull planks in bands, and I suspect this will be difficult to achieve with wood blocks.
If you want the most realistic look, then I say go with real copper. Plank the entire hull in the normal manner except you do not have to use the expensive hardwood below the waterline, since it will be covered.
Get some 4 mil sheet copper, you can use the tanganyika wood to estimate how much. Real copper plates were about 48" long and between 15" and 18" wide. Cut them out with scissors, and glue them to the hull with contact cement. Start at the foot of the stern post and overlap upwards and to the bow.
If you really want to go to town, get a "pounce" wheel from a fabric store (the thing that looks like a cowboy spur), file the points blunt, and run it over each plate to simulate the copper nail heads. The nails were pounded home against the hull, so a subtle effect is called for, you are not making rivet heads.
After they are all applied, clean thoroughly with the finest grade of steel wool and then a tack cloth to remove any residue. Wear gloves and a mask during this step and until the copper is clear coated, as any body oils that get on the copper will show up as spots of oxidation. Do not try and weather the copper. Fix it with a clear spray, and in a couple of years it will have a beautiful patina even under the clear coat, and until then it will look amazing against your stained wood hull.
Again, IMHO, you will never be able to replicate the look of copper plates with the wood blocks.
The best reference on coppering I am aware of is in Wolfram zu Mondfeld's book "Historic Ship Models".
Good luck and success with whichever way you choose to go.
Bruce