That's a lot of weight.
Running some numbers . . .
For a takeoff speed of 10mph (~16kph) a 6% airfoil (6mm high, 10cm cord) on a weightless airframe (AUW is 10#, so we ignore the airframe weight, which will probably be closer to 2-5 lbs) . . . looking at a clean efficient airfoils in that range the coefficient of lift tops off just below 1 . . . Using the
Lift Formula, solved for area, your wing will need to be at least 12' long (3.6m) to give you the wing area you need.
A solid core 10x0.6cm cross section will not get you where you want to go.
Bumping up to a 10x1.2cm opens up a few nicer airfoils, and can get Cl up to around 1.2, but even those top out at 10' long (3m).
You need far more surface for that kind of payload -- the cord is simply too narrow. You need to look at cutting ribs from the balsa sheet *at least* twice as long (20cm or more) from 2-4 cm balsa, assemble the ribs supported by spars and stringers, then covering the hollow gaps with either a plastic covering material or thinner balsa sheeting.
For an airfoil shape, I'd recommend looking at the
Clark-Y airfoil -- This should give you a fair amount of lift at a 20cm cord, and a good amount of lift at 30cm cord. It's also flat bottomed, which makes it easy to cut.
As for assembly concepts, look here:
http://www.rc-airplane-advisor.com/balsa-wood-building-sequence.html
This covers building from plans, but he demonstrates laying out the ribs, spars and stringers, then sheeting the leading and trailing edges -- you can sheet the entire wing in 1-2mm balsa, but placing ribs at ~5cm intervals and covering with a plastic material is much lighter.
Keep in mind, even at 30cm, you're still looking at needing a 1.5m wing to get the area you need for a ~15lb AUW. This will be a fairly long wing, and your spars will likely need to be a harder wood -- like basswood -- to transfer the forces from the 10lb payload weight out onto the wing.