Then a few millennial later, our decedents simply kick the tires and light the fires, and land on their new home.
It's probably how we got started here on Earth in the first place. Then again, maybe we're really on a similar mission even now; perhaps unknown to us, the earth is really our ship for colonization, as planned for by our ancestors eons ago.
After all, we are moving at 483,000 miles per hour around the galaxy, which is 1 / 1387 the speed of light.
First off I think finding such a body would be an extremely low probability event. But, assuming you find one going in the right direction you have to have everything you're taking along match velocity with it. If it's going at a speedy clip then somehow you have to get up to the speed of whatever you're riding on otherwise you have the bug hitting the window of the jet plane effect. Then there's the problem of the other end. How do you slow down enough to avoid making a kinetic energy explosion dwarfing the size of the KT boundary event? I would say that the devil is in the details, but these aren't details. They're the major components of your proposal.