I have an SDS and apparently it has a clutch, so might try that core drill to start with, cheaper that buying a load of big SDS bits and hopefully the lack of hammer action means less chance of cracking. If it fails it's not too much money wasted.
Worth a try. In my experience core drilling is a slow process but I've not tried holes that small. Quite often helps to have some water cooling the bit. They might be quite difficult to get started, you need a pilot hole to stop them skating.
Ah I thought you were drilling smaller holes, not cores. Yeah don't hammer with core bits/diamond as it wrecks the bit (I am sure you know this already as an SDS user)
You need a hammer drill. SDS. Invest in something like the Evolution SDS hammer drills - about £60 on Amazon.