What I did was I got myself captured (purposefully failed the negotiations and tried to fight back). From there, I fished a lockpick out of the toilet, snuck my way out upstairs, and found another lockpick to pick the locker that has all my stuff. After gearing up, I went back down, killed the guard, freed the target. Went down the manhole, and escorted him out into the water where I called extraction from my Comm Pad.
It only cost me 1 junk jet that I didn't care much about.