Tom, welcome to the forum. You can use the text tool (Shift-X) and add a border around it via the Properties panel (Ctrl-8). To show in all parts, use system text (Alt-Shift-X). It’ll display on the top staff in the score, but also in all parts.
I used to do this in Finale as well, the same way you did. In Dorico, for score markers like “Verse 1” and “Chorus,” I find I prefer rehearsal marks (A, B, C, etc) and adding a suffix via the Properties panel. So my rehearsal marks now look like A-V1, B-Chorus, C-V2, D-Bridge, etc.
It looks nice, and it works well to show both a description and a sequential letter, which helps both my band and orchestra players.