just to be clear, folding is neutral (0) EV, but checking isn't 0 EV. you realize some
equity when you
check. Depending on how aggressive
villain is this will start
close to 0 if he is betting heavily into you with near 100% frequency, and will go up as he he checks a larger portion of his
range.
visualize it as a spectrum:
0EV realized =
villain betting 100% and you folding - - - - - - - - - - - - - - - - - - - - 'some amount' of EV realized from
villain checking down - - - - - - - - - - realizing your full amount of pot
equity vs villains
range by checking down 100% to
river (which given your assumptions is 32.089%)
when you
check call you put money into the pot, which may be + or - EV depending on villains
range tendencies etc etc.
you seem right on intuitively when you feel c/c is -ev. ive modeled a
spot similar to this just recently which leads me to the same conclusion thus in game I would not c/c AK here in a vacuum unless I had very specific reason to support it, though its all depending on what villains
range is and how he plays it and how much attention and thought he's putting into to analyzing your play. (so far beyond the scope of this thread...)