Limited opportunity view in private sharing model

[KevinShuk]

We have a private sharing model in my organization where we be default are not sharing opportunities between teams, unless any particular opportunity is explicitly shared.

The problem is that visibility to an opportunity seems to be all or nothing. We would like non-team members to see opportunity name, account name and owner for all opportunities, but not be able to see the opportunity itself. This way, any employee in sales can see the existence of all opportunities, and if they do not have access to view the whole opportunity and they need to, they can contact the owner to share it with them. 

This seems like something that others would want - how do you know what to ask permission to see if you can't see a nominal view of it?

Is there a way to do this without building a custom page with Apex and Visualforce?