The problem with the carb being the issue is that it was this way before I rebuilt the carb - and we went through it very thoroughly because the car had been sitting for quite some time. There does not seem to be any issue with fuel - again, it's fine once it starts and will restart just fine when warm. I will try the idle screw though.
As for a fuel filter, no, neither have them. just the sediment bowl.
The GAV has been turned out about 1.5 turns (and many points in between) trying to see if that is an issue. It does not seem to be.
That said - thanks for the ideas. I'm going to go through most if not all of them this weekend!