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Why not hire one, along with a rig / stand?
No ones specifically said it, but even if you could do the drilling part with a combi you really want a nice neat straight hole.
Even with a chunky SDS there is a lot of skill to freehand drilling a straight core, so you may struggle. Much better to rent something dedicated.
hugo7-
a lot of skill to freehand drilling a straight core
Not particularly, especially with a 150mm diameter bit as they want to stay perpendicular to the wall. The biggest issue is getting the pilot hole right as if that's wonky the core but will try to go straight and the centre spike will follow the pilot hole. I usually drill a shallow pilot hole (50mm max) and use the centre spike to get everything started, the remove it, once the cutting part of the bit is below the surface it's difficult to deviate from straight on.
Bobbo
Something like this? https://www.hss.com/hire/p/diamond-core-drill-dd150