If you check on the listing of your device in SANE: (Scanner Access Now Easy):http://www.sane-project.org/sane-mfgs.html#Z-EPSON
it describes your device as unsupported...................sort of strange as seemingly similar devices are supported...........there are muttering about maybe the snapscan backend might help...and so one needs to work out if it is already in sane..
one assumes your version of mint has the latest sane-backends installed; there is an package libsane-extras that may contain more goodies that might help you; I agree Epson don't offer a driver for you;
commands folks try are
and repeated with the sudo command in front of them; limited time now; will check back later