For what it's worth, I've purchased plants with seed pods on them from daylily gardens and the transplanting doesn't seem to harm them too much. I'm not sure I would recommend doing it frequently, but if you're in a pinch, I really don't think it would hurt much. I'm not an expert, but just thought I'd throw my two cents in because I've had 4-5 cultivars this season that I purchased with seed pods and the pods kept developing even after I brought them home and seemed to do just fine. I should also mention that 3 of these cultivars were kept in pots and the other was in a very shallow raised garden bed that kept drying out...so definitely not ideal conditions! I don't know how the late-season would affect them, but if you have to do it, you have to do it, right?
Are you moving to another zone 5 area, or are you moving somewhere warmer?