I am providing a backup solution for a customer. Right know there is a device between ME and the WAN that is out of my control. In order to run a dynamic routing protocol I have established GRE tunnels between myself and the head end device. I am then running EIGRP and am getting all of the required routes except the default route, so I redistributed JUST the static route using a route map. I can see the static route in eigrp when I do a show ip eigrp topo. Next I remove the 0.0.0.0 0.0.0.0 static I have pointing to the physical interface. Almost immediately my tunnel goes down and I lose all of my eigrp routes. It logs an error "%TUN-5-RECURDOWN" error. I found a document (22327) that says in order to remedy this use a static pointing to the interface. The problem with this is that the WAN circuit (which my device has no visibility into) can go down and the GRE tunnel is still up. This causes my device to still consider the 0.0.0.0 a valid route.
I have this problem too.