You probably just flooded out the coils. The same thing happens when you wash the engine. The sparkplug holes fill with water and don't allow a spark. Say that happened in 3 cylinders or so after dropping into neutral. The engine would have a hard time regaining idle and die. Just fine. Look out for leaks around the heads. Make sure you didn't crack one. You don't seem to have run it long w/o coolant, so you should be just fine as long as the engine didn't get too hot.
BTW On my 89 merc I lost a head gasket on the road and needed to get to work so I drove 45 miles w/o coolant. The engine died on me just as I was pulling in the parking lot. The hood was hot enough to boil spit when I spat on it. Came out after work, and it fired up just fine. Towed it home planed the head and put in a new gasket. Runs better than ever now.
(Also BTW, I paid 295 for the car, work was more important than it)