I'm sure Mark has more to add than me but is it possible one of the fuel pumps is failing? So it can keep up as the load builds (its marginal) but the sudden hammering of the throttle/demand for fuel may cause it to not be able to keep up and then the computer shuts it down..? I believe some 03 Cobra owners have already had pumps replaced so it would not be unheard of.
Jerry
Jerry