Hi
So at idle: no problem. At load: hesitation/stumble. What about when crusing at highway speeds?
If it happens at highway cruising:
I think the jets are too lean. At idle and low speed the idle screws seem to be OK. But before changing your jets, what does the plugs look like after a few miles of highway cruising?
If it only happens at load, but immediately:
It seems to be an ignition issue. When not at load the power required to fire the plug is less than when at load. Any number of components in the ignition system could be marginal, the coil, the wires, the plugs (gap too large) etc. [Personal experience: Had installed a Mallory Distributor that did something like this. I don't know if it got too hot, or the ground was bad or it was too close to other wires or what, tried to fix all of that, without success. Finally put on the old (restored) points distributor and all problems were gone]
If it only happens at load, after a 5-10 seconds:
Could be that it's running out of fuel? Clogged filter, bad fuel pump?
This was some suggestions. Unless one of them makes you say "that must be it", I'd suggest you do the following: Make it happen, stop the engine immediately, pull a plug. Is it wet with fuel? Then you have an ignition problem. Is it dry? Then you have a fuel delivery problem.
Allow me to recommend
http://www.tuningmadeeasy.com/.../spark-plug-reading/ for reading plugs.
And for a full tuneup that I recommend you do (cheaper than replacing all components until it works)
http://www.tuningmadeeasy.com/tuning/Hope this helps. If it's not clear you're welcome to contact me directly