I personally use a hotspot (connectify to be specific) that has the option to send a file to a computer connected to your hotspot. So let me tell you what you got and what you don't need anymore:
-You got 2 or more computer connected.
-You have the option to drag and drop the file to send to any computer connected to the hotspot.
-You get a transfer speed up to 5mb/s or even more sometimes. (It's also free of course)
-You don't need any LAN or any external wired/wireless connection at all.