Thanks HooKooDooKu for your help. I think that's what I'll end up doing--install the Rainbird Basket Filter, then the DC valve, then my zone valves. That ought to cover it.
My thanks once again to you, Wet Boots, Tom and HooKooDooKu for your sage advice. It's much appreciated by me and, obviously, by so many of the other folks posting on this site.