It's well worth your while getting the TOD with it being a timed spawn.
I took a couple of days to track down the TOD when I was after a Brown Belt but once I had it all I had to do was set an alarm clock and leave myself logged off there.
Got up just after 5am one Saturday morning to kill it. It popped about 30 seconds after I logged on and I was logged off after another few minutes with the vine in my inventory and back into bed!
Spending a day or two getting the TOD is worth the effort.