You haven't explain why the usual won't work;
Burn to CD, copy from CD.
Network the 2 computers if they are in the same vicinity.
You "can" use a Peer to Peer, (P2P), program to conect both of you up together. A program like WinMX used to be very good at this, because one of you could set up a chat room, the other could enter it, and then you could browse each other's specified shared folders and select and download them. But I am not sure if this is now possible with WinMX. Certaainly you can still do general searches and downloads with it, but I have been unable to list or open chat rooms with my software for some time now. This is either a fault in my software, or a general failure with WinMX. I suspect the latter because I know chat room hosts were having a lot of problems with intrusions and scripting malware.
Other P2P programs may offer the same type of option regarding chat rooms and browsing from people in them, but you have to be very wary of P2P software and connecting up to the servers. EG, Kazaa is a favorite, but is known to include adware and spyware in its program.
Other people here may have better advice for you.
I am in need of a program that will allow me and my counterpart to transfer files between ourselvs and ourselvs only using our IP addresses.Is there such a program that will that allow this to happen?All help is honored.