340 block help

I don't know what use you intend for this engine, but if you are OK with hypereutectic pistons, then the SRP pistons for the 340 have a lower compression height; i.e., they will be lower in the bores, about .018" down in the bore with a stock deck height. They have an advertised compression height of 1.804". If you need that a bit lower, then some shops can pretty easily mill a bit off of the pistons tops. There may be other good choices.

But all of this depends on the heads you plan to use; do you have a set of heads selected?
Y
Let us know how much the shop ends up cutting the deck down.

I do have a set of heads for my set up . They are Indy X / RHS.
I am using hypereutectic KB's