Is the old engine rebuildable at all? What's "bad" with it?
A rod or piston failure may require a short block. A timing chain failure may require a reman head (or just replace the valves).
I use the Mopar reman catalog as a cross-reference for what fits, but it only goes up to 2012. It won't tell you why something won't fit.
The salvage yards use Hollanders Interchange manual for cross-reference. They may be able to tell you what applications would be the same for 2013.
There should be wrecked 2013 200s and Avengers available out there.