Cisco Switching/Routing :: 3750-X OOB Management With IP Base And Routed Access Layer

I've got a bunch of 3750-X switches all running IP Base and acting as a routed access layer. They run OSPF in a totally stubby area with the distribution layer (Nexus 7K) as the ABR. We also have a physically separate management network into which the fa0 management interface of the 3750-X is connected. The management network itself runs OSPF and has multiple subnets and external access.
 
On the 3750-X, I'd ideally like to be able to run some sort of separate OSPF process for the management network or at the very least have a static default route for management traffic pointing out the fa0 interface, but clearly not have it interfere with the main default route for data traffic coming from the N7K ABR. Normally I'd just create a management VRF, sling the fa0 interface into it and run a separate OSPF process in that VRF. The problem is you can't create VRFs in IP Base! Surely there must be a way to do this? Cisco don't really expect customers to upgrade to IP Services just to have a working OOB Management network, do they?!