Thats all I ever do.
If you got a good shot on the element you should be golden.
The reason I think its the MAF or something else electronic is it happens after warm up.
Also you said the engine dies out.
Cant see how the transmission would cause that.
That's a GOOD thing as far as the cash flow goes.

Same theory goes for the TPS.
I'm a old gearhead so the theory I use is the engine needs 3 thing to run.
Fuel,Air and spark.
One of those are missing if the engine dies out.
Or its flooding.
When you start it back up have you noticed any black smoke coming from the exhaust ?