Management Interface on Cisco 2960XR

I'm doing a new install at a customer site, utilizing the "routed access" design model with 2960XR switches in the Access Layer. We also have a complete out-of-band network for all network devices and use management ports instead of in-band VLANs for Management.

I am seeing that the 2960XR does not support VRF-lite which is used on other platforms to segregate management traffic. So I am having trouble managing these devices on the out-of-band port. (Because we are running ip-routing and EIGRP locally) I have been thinking about using a local route-map on the device to set the nexthop for traffic hitting (and originating from) the management port, but was curious if anyone else had any advice on a better way to use the out-of-band management port on the 2960XR.

Thanks in advance!