Thanks AV but wrong Missouri. Thanks Chris that be it but seems no launch date.....anyone have a clue ?
Again, consider canon facts of the time period of the 2280s and 2290s. Now consider when KA took place (
2291) and when Star Trek III: The Search for Spock takes place (
2285). The Excelsior-class was first introduced to us in that movie as was the Oberth-class, and we see how different design aesthetics were, and they're commonly-accepted designs today as was the Miranda-class back in 1982 when Star Trek II rolled out.
If you have enough fanboy-esque thinking in your head, make a good guess as to when the Missouri-class was built. There is no launch date given for the Missouri; Heck, she's non-canon and whether or not you go by Canon or not, you can give her any launch date you want. But given that I take a bulk of canon as a base, I'd try to do so reasonably.
Considering the design aesthetics, how the configuration is somewhat reminicant of the Oberth-class and the little details you see; down-sloped rim of the primary hull's saucer section, up-sloped rear half of the primary hull... I'd say it's safe to put it around 2285-2290, take your pick of those years.
But, again, you can do whatever you want, like giving her the launch date of 2142 or 2583, etc. You can be creative with it or a little realistic.