Grant Tab by Role

We have our pages setup by departments, with each department having their own content management role. Looks like this:

HR -> Every role has Read, only HR Admin has Edit and Delete.
Benefits
Management <- only Managers have read
IS -> Every role has Read, only IS Admin has Edit and Delete.
Help Desk
Servers <- only Network Admins have read.

What I'm trying to accomplish is to allow HR Admin to have the Grant tab on any page they have Edit and Delete, and the same for any other "admin" role. There can be several users that are "admins" for any role, so the "Grant own node permissions" permission does not work in this case.

What I would like to see is a permission called. "Grant role node permissions". Or something to that effect. I'm looking into how to do it, but I'm no developer.

Thanks for any help you can give!