This is a very common problem,that needs to be addressed by the person responsible for the design of the kitchen.
When i inspect a island or counter that is so built that it is imposable to meet NEC requirements for receptacle installations,I leave it up to the building contractor or designer to provide a space for the required receptacles.
Builders,designers and cabinet makers need to made aware of the NEC requirements for receptacles. I feel that a box should be cut into the cabinets at the time it is built.it is much easier for the cabinet maker to do that in shop than it is for the electrician to do it on the job.
Given a few failed inspections, and cabinet rebuilds should make the designers make this problem go away.
