Cisco Firewall :: 3750s / Trigger Failover Without Standby Address Configuration?

I am trying to establish EIGRP neighborships with my inside switches (3750s) over the "Internal" interface, shown in green. The outside interface is g0/0 and don't worry, I've ensured EIGRP is not running there.The problem I'm having is that I need to monitor the "Internal" link so that if it goes down, the ASA triggers the failover to the secondary firewall connected to the other switch. I was told that the "secondary" keyword was what enabled this:
 
interface GigabitEthernet0/1
nameif Inside
security-level 100
ip address 10.10.2.2 255.255.255.0 standby 10.10.2.3
 
This is fine since I am able to compare this config to the firewalls that are currently in production elsewhere in the environment and this is what's in use there. However, in order to run EIGRP all the way to the firewall and not rely on something else like HSRP for the inbound traffic, I'd like to run the corresponding links (Gi1/0/22) on the inside switches as routed ports (no switchport) so that I don't have to establish neighborships with SVIs or something like that. I want the routing to be done directly to the port, leaving the interfaces for failover and our DMZ set up as switchports, since those can be layer 2.It's saying the Internal interface has failed now, probably because it cannot send hellos through this, since it's a routed port on the switch side. I'm wondering if this simply is an impossible design, unless there's a way to track this interface and trigger a failover if it goes down using another method.a method that allows me to track that internal interface (Gi0/1) and trigger a failover if it goes down.