With any flash drive you can .rar up all the music in parts, then transfer the parts one by one. (For example, if it's a 2GB flash drive, do five parts, if it's four GB, do three). Putting them in a .rar isn't really necessary though, you can just put as much of it on the drive and transfer it. That's the obvious solution. You can also try transferring the files over LAN. @Blaze
More on that here: Transfer Files between two PCs using LAN/Ethernet Cable | Hacker's Lane