How do I tell if my 340 is internally balanced?

That's a total waste of time and money. You don't rebuild the engines in your used daily drivers after you buy them do you?

I know how you feel... I used to think the same. Install it and run it... if it need to be repaired do it then. Otherwise drive the car and enjoy it...

I don't have much into it, and came with a brand new set of heads. I could sell the block for more than I paid. I already have a 318 in the car and it runs and drives. I may just take some time and rebuild it.