Can I add my honest thoughts: I started raising queens a few seasons ago, using the Nicot System, I had some success the first year, I always disliked caging the queen in the system. At the beginning of this season I tried the Nicot system again, after caging her for 12 hours she had laid up most of the cells, I released her and waited for the eggs to hatch, after three days I looked and the bees had removed all the eggs! So I had wasted the best part of 5 days (putting the cage into the hive for 24 hours before I caged the queen). Well the long and short of it all I decided to graft. Using a Chinese grafting tool I have successfully grafted and raised over 200 queen cells. It really is not that difficult to do, I watch loads of Youtube video's. My first graft was a little nerve racking but I purchased a pair of magnifying glasses with a built in LED light. I have ever taught 3 other beekeepers to graft. To me 'cell punching' seems far more difficult than grafting.
I will say that your cell starter and finishing colonies are the answer, far too many beekeepers fail because of poor cell starting colonies. This season I used the 'cloak board' method with excellent results.
As a parting note all I'd like to say is give grafting a go, it really is not that difficult.