There will be no thousand year journies. You’d be overtaken by the generation after which left in faster ships and arrived in half the time. Make the trip in a few decades or don’t bother making it at all.
What if we did send a ship on a thousand year journey, and learn more about building fast ships than if we hadn't? Such that the second ship we send, would be quicker than the first ship we'd have sent if we waited a few decades?
It should be easy to find a hot broadcasting object in space and rendezvous with it. The crew might face some future shock.