Since there are several different names for each class, we should decide to put up a definite list so that everyone can see what the hell we are talking about. This is in no way ment to be a representative list, you can call every ship however you want, but bringing it down to a point should make things a lot easier. So...

...what do we have?

Designation, given in DS9 Technical Manual	Known ship names (given by other sources like Paramount)	Known ship name (from the studio model)	Inofficial nickname	Inconsistences	Notes
Intrepid/Constitution (variant) - p.167	---	USS Elkins, NCC-74121	'Proto-Voyager' (obsolete)	- could be NCC-74131	1)
Excelsior (variant) - p.168	USS Centaur ('A Call to Arms'), NCC-42043 (FactFiles)	USS ???, NCC-42043	'Centaur-type'	- the model's name is not 'Centaur', allthough they share the same registry	2)
Excelsior/Constitution (variant) - p.168	USS Curry, NCC-45617 (Okuda)	Raging Queen, NCC-42264	Shelley-class	- the Raging Queen had no 'USS'  in front of the name	3)
Excelsior - p.169	---	---	Medusa-class	- no name or registry given	4)
Constitution (variant) - p.169	---	---	'Constitution-type'	- no name or registry given	5)
Intrepid - p.170	USS Yeager (Okuda ?), NCC-???	USS Yeager, NCC-65674	Yeager-class		6)

Interestingly, all ships pictured incorrectly in the DS9TM have the addition 'variant', while the 3-nacelled Excelsior and the USS Yeager don't have this addition. This could mean that there are indeed several variations of the same type, no matter if it is a 'real' shipclass or not.
I will not connect one of those designs with an existing class-name from the Encyclopedia, allthough some registries are close to some known registries of official classes, such as Mediterranean and Renaissance.


Notes:

1)  This ship was believed to be the Intrepid-class pathfinder-model, built for presentation-purpose only. This was based on the similarities between the pictured ship and the 'Proto-Voyager'-design, most notably the use of Danube-class phylons for the nacelles. However, it turned out to be wrong. For now, no appearance of the Proto-Voyager is known. The secondary hull seems to be the main body of a F-14/A.
=> Class Visually Identified?   Yes

2)  The ship's upper area is radically different from the ship pictured in the DS9TM. The name of the studio model is not known, the picture is not clear enough to read it. Furthermore, it is not known if we can still assume the model from 'A Call to Arms' was labeled 'NCC-42043', too, or if this is an error and the real USS Centaur had a different registry.
=> Class Visually Identified?   Yes

3)  The Shelley-class is a bit curious. The ship that appeared in the foreground in 'A Call to Arms' has its warp-nacelles arranged differently from the model named the 'Raging Queen'. The pictured ship from the DS9TM is the Raging Queen, not the Curry. It is not known why the arrangement of the nacelles has changed, but we might assume that there is another Shelley-class ship visible in the far background in 'A Call to Arms'.
=> Class Visually Identified?   Yes

4)  Neither a name nor a registry are known, and there is obviously not even a registry or name on the studio-model itself. The ship-image from the DS9TM seems to be upside-down.
=> Class Visually Identified?   No

5)  Neither a name nor a registry are known, and there is obviously not even a registry or name on the studio-model itself.
=> Class Visually Identified?   No

6)  The registry is a rearrangement of the Voyager-registry, NCC-74656. The ship appeared in the background of external shots of DS9 several times.
=> Class Visually Identified?   Yes