When the car does start again, do you see smoke out the tailpipe? There could be a few issues. Is the fuel boiling over? Need a carb spacer?
At least for my car, I think my hard start issue stems from a bad seal at the needle/seat in the carb. I'll have to rebuild the carb to see if my hunch is right, someting I thought about recently.
When the engine is turned off, last fall I saw fuel dripping from the primary butterfly shaft. Figure that is flooding my engine plus I noticed last summer I was about 1 quart over full on the crankcase oil and it smelled like gas and the oil was very thinned out. That was partially to putting on a new gas cap that wasn't vented.
Hope you find the issue!