Does the problem seem to be heat related? most of the problems i have seen with the symptom you are describing are heat related. I've seen coil packs that don't work when it'* really cold, crank sensors don't like it when it'* hot, and ignition modules don't seem to like it hot either. do you have access to a heat gun? if not a hair dryer will work. put the car up on some jack stands and start it up. when it starts fine, locate the crank sensor (just in front of the vibration damper on the pass side) and heat it up with the heat gun. don't melt anything!, but get it fairly warm, give it a little while to let the heat soak in and try starting it again. if it doesn't start, give it some time to cool down, if it starts once it'* cool the crank sensor is the problem. if not, repeat this procedure with the ignition module. it'* underneath the coil packs. i've had this problem on 4 different cars. each one was something different
lemme know where this testing gets you and we'll go from there.