There's no point in dancing around this.. I don't care what model, year, engine size or color.. you've got carb issues.
If compression is even remotely in the ballpark, and the fuel tap flows like it should, it only means you've missed something in the carb cleaing.
Disassemble it to the last jet and screw, clean 'em 3 times.. (and I mean every single opening and circuit), and your problems will go away. They are a far more precise component that most people give them credit for, and as such, are more finicky than you would like to believe.
(this coming from a guy who has missed plenty of things while rebuilding carbs).