Torque converter for 42RH swap

Transman, do all converters need to be balanced to each engine anytime you put in a different converter? I am changing a trans behind a 318 and a 340. What about the flex plate?
Ok, here's the information I have:
With the 727:
318 Engine. Will have a narrow ring gear(12" Dia.), and No Weights: Application 1967 to 1977. Crankshaft: Steel. Also found behind 383 & 400 engines.

340 Engine: Will have a wide ring gear(11" Dia.), and will have two weights that measure .88" x .62" x .177". Application 1969 to 1973. Only found behind 340 engines.
This information comes from the catalog I used when I worked in the industry Mark. While we had thousands of converters, both rebuilt and cores, any one looking to purchase a 340 converter had to supply a 340 core, as they could at times be difficult to source. The stall speed on the 340 converter was in the 2200/2450 rpm range.

I believe that B & M have a flex plate you can use on a lot of different applications. I've seen it mentioned here many times, but I have no information on it, but I'm sure others will.
Where I worked, we only carried stock Chrysler flex plates, or SFI approved ones for the race crowd. I've attached a file, showing the 4 flex plates that Chrysler used for ALL engine and transmission combinations.

Now if you're going to put an A500 or the A518 behind the 318 or 340, you've opened up another area totally. I have had no experience in this area, and perhaps somebody who has put the OD transmission behind the 318/340 engines can tell you what you will encounter.
I hope this information is helpful.