Guessing this is where you got the NAT Types list from here, right?
Again, they have no basis in how NAT
works or connects in real life. So off the top of my head, your options are DMZ mode for the PS console,
uPNP (MAJOR security risk, IMO), or figuring out which TCP and UDP port(s) you need to forward on either
the modem or home router to get this to work.
Slightly off topic, you have a Cisco modem (guessing it's a DPC 38-something?). Is it in bridge mode with
the Linksys e1200? IE if you log into the Linksys's admin pages, the Linksys is getting a non-10.x.x.x,
172.16.x.x or 192.168.x.x IP address on it's WAN interface?