I’m not an astrophysicist, but my assumptions are:
1) if it was close enough for us to reach it, it would cause such havoc so fast, that I doubt we’d have time to do much about it, and even in the aftermath the event would be catastrophic for our whole solar system (imagine trying to control a large wave in the Pacific when you’re an ant riding on a leaf and your technology consists of chewing bits of the leaf and moving them around).
2) assuming that it’s a stable phaenomenon, and somehow it doesn’t directly affect us, and we have the technology to get near it without being sucked in…I still think there’s a problem with the theory: anti-matter particles (which btw do not exactly come in a can) would of course destroy the matter particles that cause the black hole to be so heavy. But each interaction causes a huge explosion (which is why we’re into them in the first place). And the result would be catastrophic anyway, even if we could of course produce the amount of anti-matter particles needed and even if we could direct them to the black hole. So even though in theory anti-matter might eliminate matter, doing so would cause more damage than the black hole itself. Our only chance in such a scenario would be to get on spaceships and fly away.