All the ships in ESD are currently available.
The ship in question sounds like the Alita Strike Wing Escort. Its a part of the Akira family, and is actually closer to the viewport.
There is a sign that identifies the ships in ESD, somewhere around the windows. Some of the staff at cryptic made a higher rez picture, with the ships, names, and regs. They posted it on Reddit and Twitter. Don't remember seeing it posted here, was 4 days ago. It's official, it even spelled the Shran classes name U.S.S. Shigrat. We can always count on Cryptic!
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The ship in question sounds like the Alita Strike Wing Escort. Its a part of the Akira family, and is actually closer to the viewport.