Cog makes a good point. I notice an omission in your replaced parts list--maybe replaced but not listed--a distributor cap--next to bad wires probably the most common cause of poor starting in damp weather. Also, on a bump start the motor is spinning much faster (even using top gear) than when on the starter. It may also pay to check the starter draw. It's been a long time since doing such a test with a simple inductive (is that the right term?) draw tester but I think you'd see something like 150-200 amps with a good starter--upwards of 500-600 with a bad starter.
My own personal best example of finding the cause of bad starting in damp weather was in 1969 in Kansas City with a '66 Mustang 289. Opened the hood at night with the engine running and I had my own little light show display with all the arcing going on.
One other point--are your plugs and wires matched?--or is it possible you have resistor plugs along with resistor wires? It should be one or the other. -- Dave