I find it hard to believe that the distributor - given it's top/back location - is getting "wet"... It sounds like a bad connector/connection to me. I'd start at the starter motor -- making sure it's not getting wet and shorting momentarily... or has a loose connection to the ignition. After that - I'd be checking for loose wires/bad connection at the ignition switch... from there I'd head to the coil and make sure you don't have a loose or partially broken wire there.
I used to have a 55 two door post - original car - back in '72 or so - and I'd let my girlfriend (now my wife) drive it once in awhile - and sometimes if you'd go around a corner just right - it would die... but then after a couple of tries it would light off and go again. After much complaining from her - I finally looked things over - and it took me quite awhile to discover that the + coil wire had a factory connector on it and right where the vinyl covering ended and the crimped terminal was that wire was almost broken through -- but at first glance looked fine.. move it a bit though... and the one or two strands of wire couldn't carry the voltage...
I'd be looking for something like that - because of the 'intermittence' of the problem.
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