Will an LA-360 bolt in where a LA-340 was?

The 340 I have is already .060" oversize and needs some work. Where are the good 340 blocks these days? Everyone wants $$$ for them and you don't even know what you're getting. 360s are easy to find, and it seems that is all the "crate engine" builders have to offer.
Have you actually had the 340 checked out by a competent builder? All I see is where you say that it needs work. Don't throw the baby out with the bath water. I'd have the 340 carefully checked out (sonic testing) before making any drastic decisions.