You're already 100% copper showing, have you test fitted your heatsink to see what the footprint looks like?
When you Lapp, the CPU has got to be 100% flat to the lapping surface, and the lapping surface has to be 100% flat, but since you're already into the copper, you need to exercise some serious caution.
I'd test fit the heatsink to the CPU and check the contact footprint between the heatsink and CPU before going any further, it would help if you could post a picture of that also.