Hi Bob,
You have received good suggestions. Michael has a good point in that solid debris in the tank can randomly block the tank outlet or get into and partially clog the line. A long time back I must have over Siliconed when sealing the fuel sending unit and some had broken off when the unit was tightened. Over time, these pieces found their way into the pickup and lodged into the line going to the pump. Although some fuel would pass around the blockages, not enough to allow the car to make speed and not cause backfiring when leaning out on acceleration.
Since my first step happened to be to remove the pump for close inspection, I found some large silicon pieces poking out of the line and removed the blockage. Further, I disconnected the line from the tank and blew air through the line and the tank pickup to make sure any remnants were also cleared. Although my next step was to b e removal of the tank, further use of the car did not present any issues that caused this action to be necessary.
My discovery was opportunistic and the problem was resolved quickly. However, a leaf or piece of paper (that some have experienced) that randomly blocks the tank pickup may be a more difficult issue to resolve as clearing could take place on its own and reoccur again.
Something I would do as a last ditch if all else fails is to drain, remove, and clean the tank. I would disconnect and remove the fuel pump for inspection and disconnect the carburetors from the fuel lines. I would then blow out the lines before reinstallation and/or reconnection. Although there is always the chance that you may not find the culprit piece of debris in the tank (if it even exists), the chances of discovering and clearing your issue are better then any other approach I can think of.
Good luck,
Ray (64BJ8P1)