Intrepid stalls on highway

This is my first post, but I've been surfing the forums here for a while and I've picked up a lot of good info. Thanks.
I love my Intrepid, and I've put so much into it that I don't want to get rid of it; unfortunately, if I can't get this problem fixed, I'll have to. Anyways, the problem is that my car, '99 2.7L Intrepid, stalls at highway speeds after approximately 200 miles. It has done this on two separate trips. On the first one, last November, it stalled on the highway and wouldn't restart for approximately 5 minutes. It finally restarted, I took it to a Dodge garage off an exit; the technician found a multiple cylinder misfire code, tested it for a short while, said that there were no problems, and sent me on my way. After about 25 miles, it did it again. This time, I sat on the side of a highway for about 15 minutes. Finally, it restarted and I got it to a garage where it sat for two hours while a mechanic did a rundown of everything he could think of. He found nothing. During this time (~3 hours because I got dinner after that), the car had the chance to cool off/settle. I turned around and went home. The car experienced a loss of power on the way back, but did not stall. I took the car to two close garages, none of which knew what to do. I risked the cross-town traffic and went to the Dodge dealership, where they kept the car for about two weeks. They couldn't find anything for the first week, and finally found some engine problems during the second. I dropped a grand and had those problems fixed by having the engine basically rebuilt (replaced rod bearings, oil pump, etc...the infamous oil starvation...and I use synthetic!). The power loss problems and rough idling which I had experienced around town disappeared, and I thought that all of the problems were fixed. I recently took the car out of town on another trip, and the car, while cruising beautifully and with no loss of power or warning, stalled after ~200 miles at about 75mph on my way home.The car finally started after about two hours, but the AAA towtruck showed up and so I let it tow me home. It seemed fine when we got back to town, and I've been driving it short distances since (about a month). The car currently has no problems except for this stalling issue. I have had everything checked out and the dealership is baffled. Any help that you can offer would be greatly appreciated.

has anyone checked your fuel pump? That could be a culprit as to why it's stalling?

My mom had this problem, and it eventually became more frequent. I wasn't in on the troubleshooting, but what they replaced that made it go away (?) was the ignition switch and the coil.

I have heard of coils that work fine on startup and fail after 5 or 10 minutes (after heating)... 200 miles? i dunno. worth a thought maybe.

On another forum, the fuel pump was mentioned as a problem in a similar situation for a Jeep. I had the dealership check the fuel pump as the first culprit, and they ran tests on it for almost a day and couldn't come up with anything. Like I said, though, it doesn't act up for ~200 miles, so I don't know that they could recreate the situation. I know these fuel pumps have problems, too. If they can't diagnose it, should I just have it replaced, or is there a way to check for it besides actually going out and driving the distance?

on these vehicles if the fuel pump fails slowlly and fuel pressure drops a little at a time the adaptive fuel cells try to componsate and add fuel by opening injectors longer and you can check your long term adaptive cells with scan tool so what i'm getting at is if your car quits on road then you tow to dealer and vehicle starts after cooling the tech can check the adaptive fuel screen and check all fuel cells if there is alot of cells in the +20-+25 range you know that you had fuel starvation now these cells must be checked before running car too long or driving down the road because these cells will update and retrim fuel asif pump was good once it's cooled and then running normal again

I am having a similar issue. I notice that it happens once the fuel level drops to approximately 1/4 tank. is this consistenty with your issue?

I was able to drop my tank and take the filter from the pump and back flush it. It was sludged with bad fuel and water. Works ok so far.