My top 3 scores to date, which are still listed in the tool...
Xen Zeratul: 34 deaths.
Sharon Raynsford: 24 deaths.
Ael'Kathean: 19 Deaths.
Special mention: Ari'Kavain would have hit the 60 mark, but he's been rebuilt... twice, now? His current listing is only showing '4', now, but he would have taken first place had that not been the case.