Stalling Issue

Haven't drove my new purchase at all other than around the lot. This thing is pretty clean and original. Anyways, here's the issue with the car. The car starts fine when cold. Pump three times and it fires right up. Fast idle it runs fine. If you kick it off of the choke it will idle for about ten minutes just fine but, once warmed up the car will just stall. Sometimes it start back up and then just die. It won't start back up until it cools down which presents a potential vapor lock issue?

My thought is a carburetor issue perhaps with the floats or something sticking inside. It is the original 8385S 2BBL BDD with Feedback looks to have never been rebuilt. At first I thought it was a coil issue but, I have already replaced the coil and fuel filter. Tested the computer already with another good one and same issue. What everyone elses thoughts on this? Would you say a carburetor issue? Thank you in advance.
Author: randomguy