The programs that you tried are sufficient for mounting the image and, mounting the image via other software is probably not going to be doing anything different.
I suspect that the drive not showing up in EAC is something to do with EAC and not the mounting of the drive since EAC is designed to read from physical CD drives and physical media.
But, why are you using EAC to extract tracks from a CD image? Like I said before, EAC is designed to extract bit perfect data from physical media. In your case, the data is already extracted albeit in the form of a CD image (if I understand/assumed correctly) so any other simple (compared to EAC) software is enough to extract tracks from the image. Did you try PowerISO for the track extraction? It does it too!