Torque converters can be tough things to understand, so if your're interested in trying, i would suggest Google and a nice cold beverage. A TC is essentially a fluid coupling, which always has some slip.
During the 70's gas crisis, a great desire for increased fuel economy (by eliminating the "slip") led to the development of "lock-up" torque converters. Lock-up TC's have a clutch, applied hydraulically under certain conditions. Non lock up converters have no clutch.
The TC in the 700 is non-lockup. All 3 of the clutches are in the tranny. It does have a one way bearing (for engine braking) which sometimes mistakenly gets referred to as a "sprag clutch", even though its not.
Being non-clockup, the TC on the 700 has no literal connection from the crankshaft to the tranny...all power delivery is done through the fluid (oil in the 700's case, ATF in most everything else).
Now we have to know what you mean by "stall"?
If it is literally is like a manual tranny with a malfunctioning clutch lever/pedal to the point where you have to stand on the brakes until the engine dies to stop, this would have to be something in the converter seized and preventing it from slipping as it should.
IF you mean the machine still has some forward drive at idle (AKA, the "creep control" isn't working), but can be held easily with the brakes, it could simply be in limp in mode, which often diables the creep control. You overheating could be doing this if the check engine light is coming on.