If he's good enough to beat the game without multi-bombs, he's good enough to get through this level

I kid though... hmm. I guess my best suggestion still is every time you make it up a platform, spam bombs until you see an opening on the next. even with one bomb, the green bombs explode on contact, so you should have no problem keeping your current platform clean. Other than that you just gotta have good timing. once you get on the last platform before the single blocks, jump to bomb the single nearest you, and once that's stopped, ignore the second single block platform and just bomb-jump to the ledge. You don't have to push the button if you don't want to, just skip it. You still get the points. unless... there's some added advantage to pushing it someone knows about?