I would put ion motors on the body and apply continuous thrust, which means an infinite series of impulses rather than just two. This would keep the pile more or less intact. It’s similar in effect to the two impulse method as far as orbital mechanics goes, although much slower.
Ion motors, eh? based on what I have read, they slowly increase their thrust (the current systems do anyway). So, the motors would have to be attached while the body is far, far out.
have to build the drive motor and mount, get it on the supper-duper-space shuttle - we have none that get to the moon, much less past Mars on an intercept, get to/past the asteroid on a path fast enough to allow slowing down/speeding up to intercept, then match orbits and “park” close enough to send manned suits down to the rock to mount the drive.....
All of the above makes going to the moon easy: since we can’t even get back to the moon right, even harder with today’s NASA attitudes and abilities.