So after painstakingly packing, air dropping the zipped folder, and unpacking some test extensions to see if the process works (which it did), I went to the extension store to just download a really simple extension that decided I wanted, and when I clicked "Add to Chrome" a pop-up asked if I wanted to just "Sync" my extensions across my accounts. So I clicked yes, and a few seconds later all my extensions were populated on my new computer's Chrome browser. Boom. So I'd recommend trying this route first for anyone who is wanting a quick fix.