/6 runs great, randomly stumbles and dies...???

I know some may want tons of details, understandably, I'll do what I can, but to start, I'll keep it brief (OK, too late, I wrote a lot).

History: /6 in 72 Dart sat for about 15 or so years indoors without being started at all apparently. 112k miles. I get it, get it running, convert to electronic ignition, change all plugs, ballast resistor, cap, rotor, plug wires, coil, fuel pump, and so on, pretty much everything. I'm in this for the long haul and want this to be reliable.

Carb: So I get it running, but not great. The carb on it is a reman Holley 1920 from around '91, and I was pretty sure this was the problem. Not having an original carb to rebuild, I figured I'd take a chance with a new reman. (I know, but I wasn't sure which was the lesser of 2 evils, this, or rebuilding a reman). Got an AutoLine from RockAuto, plug it on... NEW CAR! The thing runs great. Get it all set and runs amazing.

For about a week... sure there were a few glitches here and there, but I'm working the carbon out, it has some compression issues, real bad blowby, I'm just trying to free up the rings, valves, etc by working it...

Then trouble: So then after about a week, I'm out driving and out of nowhere it starts sputtering, loses power, and dies. Hard start, but I finally get it going, and make it the mile home, but it's real low on power. To me, it felt like a car that was real out of time, but will barely run.

Trying to fix: First thing I do is I find the soft lines at the fuel pump and sending unit are soft, I assume from ethanol, so I swap those out for injector line. Still runs like crap.

So today, I poke around and find that the choke pull off vacuum came disconnected. How the heck. But, the car runs a bit better now.

I let it run for a bit, and it randomly sputters and dies. Just loses power and goes down, can't keep it running even with foot on gas, then starts real hard, and only by pumping (not holding to floor, but actually pumping while cranking). Waiting a minute helps, but still starts hard.

After awhile of this, I get out the video camera to show you guys and obviously when it's on camera, it runs perfect for 13 minutes. I mean really really perfect. Like a top. Smooth, great throttle response, blasts up and down the driveway like a champ. Just great. So I shut down the video camera.

Wait a bit, start it up, runs great for a few minutes, then sputters/stumbles and dies from idle, randomly. Start again, and sometimes it will die as I'm starting to give it some gas.

Summary: So basically, car runs great, just stumbles and dies randomly, then hard start and starts easier if I pump the pedal a couple times while cranking.

I have my theory on what the issue is, and what I should maybe do, but I don't want to influence anyone since I could be totally off base. Also, a few of the details I gave weren't meant to be leading, just simply trying to give an overview of what I did and how it's acting.

Any thoughts? I'd love to be driving this car again, but need it to not randomly die in the road. Unfortunately, I live in a pretty busy area, the car dying on the road would be more troublesome than if I were out in the country!

Thanks!