Hi,
On easy way to do this is to create a GRE tunnel.
If you loose the FR, you will lose the route(EIGRP) and the packet will flow toward the default gateway(your internet link). On your two internet gateway, create a ugly route to the other network using the tunnel interface as the next up. Put a crypto map on the outbound interface and encrypt GRE packets.
There is many way to do what you want, depending on your network config. I m sure you ll want to use GRE somewhere in your design. The tunnel can even always be up with bad EIGRP value on it.