Spyware:I didn't think it was advisable to punch down stranded core.
NEVER, never try to punch down stranded core. The industry standard is to buy a length of cat 6 cable which is solid core and use that as it is designed to be terminated on the matching rj45 module. Stranded won't stay punched down and this will lead to faults.
The simplest way would be to drill oversized holes and use the factory patchlead as others have suggested.