How to replace logo on Site Banner for specific groups

(On my community, I have the Site - Banner by SE widget from Social Edge, but I think this question would also affect the out of the box Site - Banner widget as well)

Since we launched our site (over 4 years ago), I've had a few of the groups have a special logo versus the standard community logo:

Homepage: 

Special Group:

My setup is so that the homepage of the community has the Site - Banner by SE widget "locked" from the home page and then on the group(s) that use a special logo, I have a second Site - Banner by SE widget on the page. The second one renders, showing this new logo instead of the main community one. 

However, due to some other changes, this is now causing some issues (longer story). I'm curious if anyone else has ever changed the site banner on specific groups to give the same outcome I am explaining, but has done so a different way? 

Thanks!