So, there's actually a proposal for "real-time" communication between galaxies. Just upload your consciousness to a computer and run it slow enough that a few hundred million years feels like a couple seconds.
The trips themselves of course consist on transmitting the mind to be downloaded on a new body on the other side.
And you're a mind running on a computer! You were already going to experience the heat death! This is just a scheme to get the most subjective time out of it as possible. (Running slower is more efficient.)