Why would one side of my print have a wiry finish on the bottom? I tried rotating the design and got the same results.
It is your first layer's height. ! have a few thoughts you might consider, without knowing anything else about your setup, but only the picture you have shown of the bottom.
The overhang might not be the cause of the problem. Someone that I know has the same problem with flat prints on their CR10. Everything else prints well but the first layer is just a mess, even with a raft on it. That makes me think that the problem might be in the program you use to make the g code.
You should print it with supports
Agreed, that looks like a very aggressive overhang.
Another option would be to split it into two parts and glue them together later.