Ok, a bit more digging, and this is what i’m going with for the frames.
Kepler Class (TOS: K7)
Vanguard Class (TOS-R: Ultimate Computer)
Tellar Class (Narendra Station/Starbase 364)
McKinley Class (‘Drydocks’/Construction)
Terra Class (Spacedock)
Solar Class (Jupiter Station)
Sigma Class (Regula 1)
Buckingham Class (unseen)
Terok Nor Class (Cardassian (DS9))
The Sigma Class article mentions the office complex from TMP and Regula as models of that class, so that helped there. Terra just seems an appropriate class name for Spacedock, and the same can be said with Tellar for the Narendra Station class.
Jupiter Station never really had any kind of name other than that, so Solar was the random winner.
That gives 10 frames, 8 Federation, and 2 others, which seems comparable to the CRB and ship frames.