Take a look at the two following cases when you get some time. I have had two separate cases where I have had a contempt action of an opposing party dismissed based on these two cases.
I interrogate my clients if they want to do summons by publication and typically hire a bounty hunting company to see if they can find them. There have been very few cases where I have not been able to track down a Defendant after a little effort. The rules require more than just stating you have looked, you need to search the internet, search prison records if they are a former inmate, and document what steps were taken to locate the person so there is a record in the event the order is challenged in the future. Difficulty in serving the person is not enough to allow summons by publication especially when you know roughly where they are. Hopefully the above gives you some things to think about when doing summons by publication and helps you avoid the neverending minefield of reversals on appeal.
Here is the scenario. Parties file for divorce. Divorce drags on for years for a variety of reasons. Other party in the mean time moves off and files for divorce after establishing residency in a second state. Question: Is it a race to the finish or do you have a remedy to stop the other party from doing that?