Thank you Clark and Dennis. Clark, as I say, I can't easily put the actual source files on the SSD, although I'm going to keep pushing on our source control folks here about improving that workflow. Dennis, when I follow the menu sequence you suggest I get a dialog with the names of my projects in the workspace. No sign of a place to change tag file locations. When I select one of the projects and click on its properties, I just get the usual project properties with all its tabs, but I still don't see a place to change the location of the tag files. I can add additional tag files through the tag file dialog (Tools, Tag files), but that's not quite the same thing as changing the target when I add new sources. I'm still on SlickEdit 2013, if that makes a difference.
However, it's not an issue at the moment, because I had moved my workspace and project files to the SSD anyway, so it is putting the tag files on the SSD also.