So, the new trailer doesn't show anything other than the ship. I agree the CGI is poor quality, but it's a very early, little teaser.
They haven't even verified if the ship design will stay that way. Most people seem to hate the design, but I think I like it. I watched the teaser a few times, and something about the combination of Klingon and Federation design cues makes it interesting to me.
I dunno, but to me it looks like the ship would have been designed after Enterprise A but before Enterprise B? So somewhere right before the time frame at the beginning of Star Trek Generations, perhaps.
It's all speculation, but that time frame has plenty to work with if they do it right, and plenty to screw up if they do it wrong.