re: Deflection by ablation
looks not very encouraging: even with a LASER beam-aperture of 10 meters at a wave-length of 500nm the theoretical beam spread is about 2.5x10e-8 rads, that's 25m for every million km (3x earth-moon distance). For a maximal beam-spread of 250 m this would limit exposure time for an object traveling at only 10km/s to about 10 days (either when approaching or receding).
