Maybe a CF transfer kit from Amigakit or other suppliers would be a good investment and solution to the problem. I used what I already had and downloaded fat95 and cfd.lha (I think it was that) for mine from aminet. You could use the floppy disk transfer method that you already use to transfer the files over to the Amigas hard drive and go from there.
Oh yeah while at aminet, get Adf2disk so that you can use the ADF files and write them to proper floppies