So, I tried mapping the drive from the server, which worked and I could see the database and select it in Amazing Charts. However, AC would then ask me if the remote computer was the "main" computer. I said no, of course. The window asked me to choose the file again. I did and this time selected that this WAS my "main" computer. I got a message then stating that I needed to have SQL installed.
What computer is able to see the database? I really don't think you can do this with the way you are trying to set it up unless I am misunderstanding something. Generally, with remote connections such as RDP, RWW, VPN, VNC, Terminal services you can only access the remote desktop and not browse from the remote computer to the database directly. While you can use mapped drives, I am not sure why you wouldn't want to connect directly to the database on the server.
Let me know. I do have an idea if you want to PM.