I see that you advise against drilling acrylic, but does using a drill designed for drilling plastic help? There seem to be a number of companies that make these drills. One drill for instance is this one from Amazon.com: http://www.amazon.com/Craftics-Plas-Drill-Bit-3-16/dp/B0011Z2LDM/ref=pd_bxgy_hi_text_b.
It would be much more convenient to do the some of the drilling after the cutting.
Thanks for any advice.