Shirlee, it's a 50/50 chance that it will get rid of it for good. You may need to spray them every 2 weeks for awhile. I can't remember where you're located, does your winters get really cold? If so it may kill out the rust this winter if spraying doesn't get it. How many daylilies show signs of rust?
Here's what I would do if I were you...
Cut the infected daylilies down to the white part of the fans (yes I know that is really short). Mix up your systemic and your contact fungicides together at 2 times the instructed ratio. Remember the active ingredient in these are way below professional strength fungicides so it will be ok. I know I'm going to hear it from the non-chemical folks, but this has worked for others. Spray the heck out of the daylilies, totally drench them and the surrounding soil (to get any spores). Then in 2 weeks spray them at the regular mix ratio. Then let them grow out and see if it took care of it.
By the way in case you didn't know, everything you have except the Daconil is a systemic.