I ran into this same problem, as posted here. If you want to ignore the timer you need to focus on three things:
- ZERO deaths (used to be five)
- 100% completion for the run (not too hard; just don’t miss any mobs, urns, or rescued souls – this gets you 100 points
- At least another 60 points from “Bonus Objectives” (see wowhead).
It should be easy to get 30-50 bonus points without even trying, but you’ll need to pay attention to get 60. Alternatively you can go a little faster and your score for time will be non-zero, but you can do this at your own pace and ignore the timer IF you can get 60 bonus points (e.g., kill 2 elites at the same time (<10 sec apart), use a ravenous cell on a broker to loot them, don’t take any epic anima powers, don’t take an anima power you’ve already taken, don’t take any trap damage, etc.). Sucks imo, but this is what we have unless/until they change it.
Also be sure to visit the Box of Many Things in the Runecarver’s chamber after every run to see if you can upgrade it… removing torments and auto-looting seem pretty helpful.