Full of Surprises

You do not need the daily to turn in the chest. Just drag it over to Ve'nari and loot it.

This daily and the chest is only available after entering the shadow version of the maw.

Once you entered the shadow version of the maw, you can accept the daily at 43.5 50.9 from Ve'Nari.

Make sure you accepted the daily before dragging the chest and stay in a party. Quest can be shared.
If you run with more then 5 people, they can also drag the chest, just make sure you are not in a raid.

The chest can spawn at 4 different positions:

/way 47.2, 79.7
/way 62.1, 64.3
/way 66.4, 58.2
/way 33.0, 66.3

It takes around 5-7minutes to drag the chest to her.

The chest also contains 1, sometimes 2 [item=186969], which is a raidwide portal to enter the shadow version of the maw.
If you do use the portal in the future, make sure the user enters last, otherwise not all people can join.

Sometimes you can also get [item=187113].

If you get thrown out of the rift because you're out of time, the chest will wait for you wherever you've managed to pull it, so you can just grab another key and go complete your run.