And send that multi-billion dollar probe (and passengers?) off on a multi-million year journey into .. space.

But not another star. Those things aren't going 'somewhere,' they're just 'going.'

And since we'd have to rocket the probe up to 'interstellar asteroid' velocity (committing it? a suicide run?) before the thing passed us by, the 'resources' available to the probe/astronauts on the thing would be a complete guess.