Tycho - Stress really doesn't matter w/ Tyco. His signature move is a 5 K turn, followed by a push the limits focus and target lock to launch a missile while being behind enemy ships. I find, by the end of a game with Tycho, I've got a stack of stress on him, but otherwise he performs the same as a higher pilot skill Green.
So you are doing that fancy K-turn trick once in the whole game? Because Tycho still is not allowed to execute red maneuvers when stressed, which means you would need to hand out your dial to your opponent when trying reds on overstressed Tycho... I don't think he will end up in good positions then
I've never seen a Tycho ending a game with more then 2 stress tokens