I have a similar problem with my 62 BT7. If the car has been run anytime in the previous few days, it starts fine. After a few days of sitting, though, it requires about 5 or 10 secs of cranking (which is actually a long time to crank, I think) before it finally starts. In all cases, I wait until the fuel pump stops clicking so that the float bowls are full.
Since the engine is completely cooled off after 24 hours, but the car starts fine, I have assumed that the problem is caused by evaporation of fuel in the intake manifold and cylinders after several days, but maybe this is a bad assumption.