wobbling doesnt have to be a problem. if you use the torch set-up i have, then you won't have that problem.
the problem with lightsticks is
a) it can get quite expensive
b) they interfere with your lanyard. i would recommend using one in those conditions, if at all possible.
to feel really relaxed and confident in those conditions, i think you need
a) variable depth line. i.e. be able to drop a target plate to any depth. i have 110m of 12mm spooled onto a $30 garden hose reel!! that is suspended under a big buoy. it all fits in the 'trunk' of my car. i can send it down to any depth i like, and i always get the depth accurate to within 0.5m. for my critical deep dives, i can get it accurate to within 10cm!
b) a leash/lanyard. i have a heavy duty velcro wrist strap and the leash is a solid steel 2" diameter ring around the rope, 1m of monofilament, and a bolt snap which clips onto the wrist strap.
with this set-up, and the torch and rope markings near the bottom, it allows me to head down into blackness feeling totally relaxed and confident. without those things, i would feel very nervous!