One foot of water is one thousand feet of air. This is a lead and feathers issue.
Things only get complicated at high elevantion (mountains) where you are supersaturated and offgassing (because of the obvious ascent after a lifetime on the bottom).
There is one thing to notice though: Breathing pressurized gas and then performing a 120 feet (rope?) climb is not the best combination ever imagined. Keep the dive short. Use rich nitrox. Enjoy some oxygen. Float around and have a nap
Only the climb.
---------- Post added April 29th, 2015 at 12:07 PM ----------
Oh, thanks Akimbo. Didn't notice the profile.
New try.
This is a rope access issue. You will need an SRT harness, a Petzl stop or equivalent, a breaking carabiner, cowstails, and ascenders, and some skill to use those. Someone also needs to rig the pitch. In addition you need some gear to winch down the cylinders. Sidemount and haul sacks would be optimal, but I have heard how rebreathers have been sent down a pitch... At the surface you need to detach from the rope, leave extra dangling climbing gear there (this is the annoying part), and attach cylinders. Do the dive, and reverse. The caveats of my previous post still apply.
Hint: locate a sump diver. Maybe you buy a beer for these local guys:
National Speleological Society Cave Diving Section