Good to hear that you found the likely culprit, but...
Truck is constantly stalling out when I’m braking.
The 'while braking' part leads me to believe you haven't solved all your problems. Is it still running rough while braking?
If so, check the hose to your brake booster and make sure it's in good condition and seals well on both ends. If that's good, put a pair of vise grips on your brake booster hose and drive (carefully) around your neighborhood. If the problem clears up, your brake booster has a torn diaphragm.