1st check your sediment bowl screen, you said you replaced the bowl, but did not mention replacing or cleaning the screen.
Run/test without the screen the car. If runs OK replace the screen, if you do not have a spare clean it with brake clean or something that will dissolve varnish/etc.) and try it again. You may be able to see buildup by shining a flash light through the screen from the back side, even if you do not see anything clean it anyway.
If removing the screen does not help, run a gas line direct from the sediment bowl to the carb and test.
Then it has to be filth blocking up your standpipe or in the shutoff. Instead of a stand pipe, use a pencil "standup" filter in the inlet of the shutoff.
https://www.brattons.com/fuel-tank-filter-screen.html
The Model A has an atrocious electrically noisy ignition system, do not know if it is possible it could be interfering with your gas supply solenoid, rapidly causing it to turn on /off. I do not think so, but never say never.