I looked at the release notes. Nothing there concerning install problem on desktops. Only warning was...
Don't use EFI on your Samsung 300E5C, NP700Z5C, NP700Z7C and 530U3C series, it might "brick" your laptop.
But you might want to read through the notes if you haven't done so.
Linux Mint 13 Release Notes - Linux Mint
You don't necessarily need to connect online during install. But you should in order to get your language support packages
Will this be the only OS on the hdd? Have you tested the hdd?
“Every atom in your body came from a star that exploded and the atoms in your left hand probably came from a different star than your right hand. It really is the most poetic thing I know about physics...you are all stardust.”― Lawrence M. Krauss
A 1792 U.S. penny, designed in part by Thomas Jefferson and George Washington, reads “Liberty Parent of Science & Industry.”