Honestly you would do better to remove the sender and the sock. I mean, that car's had 33 years of crud build-up if it's the original tank / sender. As for the full tank or fuel you can get a small hand pump from Harbor Freight for like $4 ~ $5 bucks to get the fuel out. Also try to put an inline pressure gauge on it too, that way you know you're getting 7psi and not higher / lower. Too much fuel can cause stalling too since you don't have a bypass / return line; back-pressure builds up and it can't push anymore fuel. Another restriction could be in the sender's fuel line, again might have crud / clog in it.
The pump will get hot, more so if there's a restriction or it has to pull fuel from a long distance. That's why OEMs place the pump inside the tank and the aftermarket in-tank pumps last longer - the fuel helps keep the pump cool. Not having a vented cap or not venting to charcoal canister (if not bad) will create a pressure problem in the tank, causing stalling.