Stroke with only Pistons and Crank?

My 340 has a 360 crank with the 340 pistons milled to clear deck. Old School Storker is what my dad/I wanted to build and he had a lot of parts lying around. I know it's not the cheapest but it does have stock rod/pistons. I apologize if I misunderstood and I am speaking way out in left field.
I wasn't aware the piston heads were that thick. That's over 1/4" (.250") difference. I bet the piston heads are pretty thin.