Inspiron 7000 15 gaming laptop random shutdown

So I've posted about, and read about this pos laptop and the widespread problem this (and several other similar models) laptop continues to have with randomly shutting down. Originally the problem only occurred when running on battery, it seemed to not randomly shut down on ac power.

I've now sent it back THREE times for repair and am now about to send it in for a 4th time

The first time, after "fixing" the problem (they replaced some internal wire). It came back WORSE, it no longer worked AT ALL unless plugged into the a/c outlet.

Visit #2 to the repair center, unit came back this time they replaced the battery. The original problem is still occurring. Sent the unit back AGAIN.

Received the unit back, well they fixed the problem they created on visit #2, the unit runs on batter and/or ac, but the original problem of randomly shutting down still persists. (AND they must have rested a soldering iron or some heated item on the palmrest as there was a indentation that looked like something melted on it)

Visit#3 - Received the unit back - they replaced the "main logic board". Not sure if that's new term for motherboard, I would guess no, since the last rep on the phone had told me if they replace the motherboard I'd lose all my data (which is fine, I've had this laptop since December 24 and have hardly used it). but it came back with my settings and browser info intact. The unit came back not only STILL with the random shutdown problem, but now it shuts down whether or not it is on battery or ac power.

So now as I stated I'm on the verge of sending my brand new laptop back to Dell a FOURTH time and have zero confidence this will be fixed. This on top of a having spent over five hours time over several calls to tech support with them installing stuff, flashing the bios, testing, etc..

So despite my rant, I wonder if anyone knows what recourse I have at this point? It's past the date I can return the unit and Dell clearly either A) doesn't know how to fix the problem, or B) doesn't know how to fix the problem.

Is there a corporate office I can contact? I've spoken to a supervisor (so she said she was) and politely BEGGED her to ensure this unit be fixed. But of course, that didn't happen.

I'll keep sending it back every 2 weeks if I have to while I use my daughters 4 year old Gateway . I'm at the point I'm ready to just chalk up the $600 bucks as a loss and look for a laptop (obviously NOT a Dell) that actually works.

SO sick of this. any advice would be greatly appreciated.