Timing is good.......It is bogging down when the accelerator pump is engaged. So I would need smaller jets?
So you push the pedal down and the engine bogs and sputters for a second or so, and then takes off and pulls well until you let up the pedal again? That's typical symptoms of a weak accelerator pump.
I guess you have the BBD, about which I know nothing specific. But every carb I can think of has a way to adjust the linkage that operates the accelerator pump. Usually you can move a link to a different hole on an arm so that the pumps moves more for a given movement of the throttle shaft, and that's probably what you need to do.
That's assuming that the pump itself is in good condition. They're either a plunger or a diaphragm. Other Carters use a plunger, so I'm guessing that your carb has one. They have a leather or rubber cup at the botton that makes a sliding seal inside the bore. If that cup is worn or cracked it won't work right.
Then there is a check valve that prevents the gas from flowing back into the float bowl when the plunger comes down; usually just a little ball over a hole in a little pocket. I can't imagine one going bad, but every rebuild kit has a new one.
Also, if the engine is running lean for any reason, like the float set too low or a clogged jet or emulsifier tube, or a vacuum leak, the accelerator pump could be working fine, but not have quite enough volume to fully make up for the lean condition.
Probably the best thing for you to do now would be to make sure you don't have a vacuum leak anywhere. Then adjust the accelerator pump linkage to increase the output, and if that doesn't do it get a good kit and rebuild the carburetor.