OLD 1962 Honda Carb Help

https://www.partzilla.com/catalog/honda/motorcycle/models-with-no-year/ca105t-a/carburetor

See above link to the carb that is most similar to the one I am working with.  Although the bike is a 1962(?) C105, 55cc Honda Cub, I think...

Anyways, here is my carb issue, the bike starts easy, idles great, both idle and air screws function and change the characteristics of the carb as they should.  But if I give it even a little gas, it will stumble and die UNLESS I set the idle pretty high, then it will break through and run very strong. 

So if it were on a scale, and

1 was idle, runs perfectly,

2-3 slight stumble and dies if idle is regular but breaks through if idle is set high

4-10 runs super strong, very responsive, revs out great ect.

I have cleaned the carb at least 10 times at this point.  Any old time gurus out there that might give some insight?  I have moved the needle clip from lean to rich and back, with varying results, but none that fix the problem.

Thanks!