I would not worry as I use needle valves a bit different than the "normal" commercial setup. I don't like all my equipment hanging on the CO2 tank down under the stand where I have to kneel to reach it. That leaves me mounting the solenoid and needle valve off the reg and on the stand. Using tubing to tie the parts together lets me put the needle valve and fragile stuff like the bubble counter on tubing and so I can lay them back out of the way when I need to change out the CO2 tank.
I use the small 10-32 fittings and find no trouble with breaking them so your 1/16 should be fine if you find the correct fittings to use your choice of tubing and just place it remote from the rest. The tubing is flexible and takes the force as long as you don't really trip over it or such. It can even lay in the floor if nothing else seems handy?