I’m not sure the Yamaguchi model was ever advertised in the auction as being the Enterprise-C. Or if it was, it was changed later according to the listing for it.
I was going to point on that the show said so, but somebody posted a link that was even more compelling.
Temporal Cold War (in addition to no phasers, photon torpedoes, or transporters). As it was, it would have worked great with a slight redress as the early voyages of NCC-1701 under Robert April.
Some TV Guides and stuff like that speculated that that was what Enterprise was going to be, and then it was not that when it went to production. Sometimes I think they may not have been sure when they started planning the project.
Maybe start with the off-round/shallow ellipse of the Niagara class, slap on some elongated Galaxy nacelles a la the New Orleans class, and there's your Rigel?
This idea is interesting because the Niagara and Freedom, which use this saucer, are likely using full-size Galaxy nacelles and thus the saucers are closer to the size of the Ambassador's or Galaxy's. That would make the ship you propose here much bigger than, but very similar in appearance to, the New Orleans.
Probert said in the Trekyards interview I've mentioned that he conceived the ship is his Ambassador painting to have a partially ovoid saucer, but not as long as the Galaxy's. He did not explain why he went ahead and used a circular saucer when his painting was interpolated into a centerfold for the Ships of the Line calendar.
I go with the Excelsior study model with the two small Grissom style engines for the Merced class (remember Data's commentary about a ship of this class being able to catch the Enterprise as "too small, too slow").
That would likely be more logical than the model that was built for DS9, but since that model exists, even offscreen, I guess that should be the Merced-class. It very well could be in a background shot of DS9 and never yet been recognized.
The model certainly seems like a small ship, but, as I think about it, this design seem like a poor choice to be the Merced class when it has Galaxy-style nacelles. Using our imagination to suppose that Dan Curry have had money to build and SHOW this ship in the TNG episode, it would be bad for the drama for the audience if a "slow" ship had Galaxy nacelles.
I have not yet come up with a rationalization for this.
I use a modification of the fan system of the 70's. (That was "YYMM.DD") To put it another way, the decimal point it moved one place compared with TOS. So, Spock's death on 8128.76 would be sometime about 1/3rd of the way through the year 2281; in TOS this Stardate would have been 1287.6
TMP-7412-early 2274
ST:II-already noted, about 7 years later
ST:III-8210-ealy 2282, or a a few months after ST:II
ST:IV-8390-late 2283, nearly a year after the start of ST:III
ST:V-8454-mid 2284, about 5 months after ST:IV
ST:VI-9529- mid 2295, or 11 years after ST:V
--With only 3 months of Vulcan exile, ST:III must have taken months of time from Grissom's early survey to the arrival on Vulcan.
Whether it's symmetrical, I don't know. Whether the room is all we see and there's some other vital systemry just to port, necessitating moving the facility off the centerline, I don't know.
I sometimes like to think that there is another room that looks the same with the pipe structure facing forward and heading to the deflector dish. I don't know exactly what architectural term to use, but if you "mirror" the two rooms the right way, you could use the same, essentially unaltered set, for both rooms, on with the ladders to port and the pies headed forward, and one with the ladders to starboard and the pipes facing aft.
Come to think of it, this could explain a lot of the potential-technical-inconsistency questions about TOS we've been discussing.
The Constitution class in 2245 was arguably smaller and more primitive than what we saw twenty years on in TOS, by which point the Miranda class was in service, and that saucer is much more different yet.
Given that the bridge and deflector dish were made smaller to imply a bigger ship when the series started, this is possibly the case.
This is the proto-Enterprise-D:
It is truly amazing that this painting outlined what the Enterprise-D would look like when even many of its predecessors had not been designed yet.