I tried this peice when it came out in a guitar mag. I only want to do the Paganini part, and so far I got up to the part right before it goes into 6/4 time.
Anywho... you have all mentioned it, but its to slow for me to sweep pick, and I have bairly any experience with that anyway. I went with alternate picking bacause thats what I was most familiar with. You should go with what your familiar with too. It will be easier.