yep, tough to stick weld truck and auto "body panels".
you did't really get to what your particular difficulties were, other than to reference "internal stresses", but from experience, usually the stick arc just blows through thin stuff. don't think it would make any difference if it were in the fully annealed condition. if I had to, I'd probably try 6011, 1/16" on AC.
dammit! now you have me wanting to try that just for the hell of it!
don't remember what I used on my buddy's '57 Desoto Fireflight many years ago when all I had was a Miller Thunderbolt. (that was probably as thick as body panels ever got in detroit)
P.S., stamped and drawn steel doesn't mean "thin". welding gas tanks are drawn.
+1 on MIG (GMAW). .023 short circuit, maybe 10% Co2?