Yeah, I wasn’t a fan of the daily time limit either. I ended up finishing the Deep horizon mission. I mostly did the storm crystal and salvage mission as well. I would just bounces back from one system to the next. I did the warp one a few times (explored around the Star Chain), and the destruction one once (I forgot how to find depots). I like the ones where everyone meets at one system, the best.
Storm crystal and the hidden rock creatures is a welcome addition to NMS, hope they have more rare/unique events triggers in future updates.