Stop discarding good 340 engines ! !
I think a good rule of thumb for any block is get it sonic checked before hand. It isn't cheap to rebuild an engine anymore (unless you own you're own shop with all the capabilities to do so) so why not have the peace of mind for a good foundation? And if need be, sleeve the block.
My 340 is .060 over. Seeing the wall thicknesses let the shop know it was fine for 3.31" stroke but a 4" crank was a no go. This kind of information allows you to make good choices based on you goals.