The symptoms, plus the frequent changing of filters, suggests that you have a lot of crud in your fuel system & tank. The "only runs with choke" problem is usually caused by a tiny bit of crud stuck in one of the jets, making the carb run too lean. Probably falls out when you drain and inspect the carb, leaving no evidence.
I would suggest draining and inspecting the fuel tank, flushing or replacing the fuel lines, and cleaning and rebuilding the carb one more time. Putting dirty fuel through a clean carb can quickly clog it up.
The A4 is pretty tolerant of fuel variations, but it must be scrupulously clean.
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@(^.^)@ Ed
1977 Pearson P-323 "Dolce Vita"
with rebuilt Atomic-4
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