1974 duster 1945 holly
Let's not be too dramatic about all of this. You won't find an NOS BBS, 1920 or 1945 carb for less than 1 millllion dollars, so don't spend time looking. I bought several used original carburetors for cores for the very reasons that Dan mentions. However, if you need to use a reman carb, it'll work as long as you go through it and make sure it's adjusted correctly, PER THE FSM, and that there aren't parts laying loose inside or in the wrong places. I run a china BBD clone on my D150 and it works great...after I replaced the cheap jobber float and needle and seat with OEM Carter parts.
Not sure why your car has a Holley 1920 on it, but I would stick with a Holley 1945 at all costs. You couldn't pay me to run another 1920 on anything. They have all of the Holley drawbacks with none of the performance. I suggest that you pull the 1945, rebuild it and adjust it yourself according to the FSM, and it should work fine. Politely...you don't have to be a carburetor expert to rebuild a 1bbl.