How to get rid of SHB larvae?

I have for now controlled my SHB population with a tray of oil under the SBB of my hive. But every time I check on it I am finding emerging larvae. How do I get rid of them. I have been scraping away the comb where they are concentrated taking as many of them off as possible, but that obviously causes quite a bit of damage and is not very efficient. Will check-mite II kill larvae? How close does it need to be to them? As long as I control the adults will the larvae problem subside as they emerge and finally fall into the oil tray, which by the way has worked wonders. I hardly see any adults at all. Or will the larvae cause too much damage while I wait?