Mapping the far side of the galaxy

Humans got a one time ticket to the other side of the galaxy, traveling $2r$ in just a few days (where $r$ is the distance from earth to the super massive black hole: 28,000 lightyears)

The stars we see are roughly 56,000 years old; now, that's not really that old compared to the grand scheme of things.

How plausible would it be for us to predict what stars would be there (considered the stars orbital period is roughly 225 million years, so that would give the stars movement a 0.08 degree movement.) Also predicting the age of the stars in terms of what star would be gone, and what new stars would have been born.

And could we, before we launch, make a map that would be usable from the other side of the galaxy?

The means of travel is of no interest to this question, the question is, can we as humans with the technology we have today and the knowledge about stars and with the predictions we can do (about star nebulae and star lifespan) make a usable map (You don't need to have EVERY star to make a map just a few "big enough" to be distinct - or am i wrong?)

Lets assume for all purposes whom ever gave us the means of travel will us nothing bad. (eg. place us inside a star), and lets also assume that it has been a one way communication, so no asking questions.

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Mapping the far side of the galaxy

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