So, I haven't gotten under the car to test the crank sensor, but I have a little update.
Started the car yesterday morning and drove about .5 miles to the nearest stop sign on the street, stopped, and when I took off, the car died again. It seems to be much more fussy about taking off when it is warming up, although it still acts up when warm. Aside from the acceleration hesitation from a start, when it is cold it also seems to step the amount of acceleration - when I take off and hold the pedal steady it feels like I'm actually tapping the pedal until it finally gets above 10mph.
Any thoughts on the car acting up more when cold?