I would suggest the end of the parade route. When we got to throw beads last year, they warned us to be somewhat conservative at the start to help judge how many beads you'd have, so you didn't run out at the end making people unhappy when you didn't have anything to throw. I think most people saved so many beads till the end, we just had to toss them 2-3 at a time to get rid of them. They asked us to only keep around 10 for ourselves.
George