This is a request that a few people made very recently, so I'll add it to the next version.
Until then, you're stuck unless you override your dialogue UI's ShowAlert() message yourself -- for example, create a subclass of UnityUIDialogueUI and override that method to queue alerts instead of showing them immediately. I'll post an example of that tomorrow.
Thanks Tony, kinda what I figured. No need to do an example if it's just for me. I can override the method without any troubles. But I'll probably just wait for your next version update as it's not urgent for me yet.
Hi Walt - The customer download page now has an updated Unity UI support package. It adds a "Queue Alerts" checkbox in the dialogue UI script's Alert settings.
Thanks Tony, although I actually have decided to go with a chat window for now to hold my alert messages, so I'm not actually using the alert dialogue currently. We'll see how that goes, and maybe I'll go back to the alert dialogue window at some time in the future.