Small Engine Troubleshooting Problems? Ask a Mechanic Now.
Hi, my name is***** will be assisting you.
When you had the carburetor off and cleaned it, Did you clean the three small holes in the bolt/nut that holds the carburetor bowl on? If not this is the most likely cause of your problem. These three small holes act as the main fuel jet for the carburetor, if these become even partially blocked you will not get enough fuel through them in order to keep the engine running properly.
It does that because you aren't getting any or enough fuel through the main jets to keep it running. When you fully choke it by putting your finger over it you are forcing it to draw more fuel and no air.
I believe that you will find that all or at least some of the three holes are blocked or partially blocked.
There are two parallel to one another in the sides of the bolt/nut and then one down through the top center of it.
I would not keep coming back to this however most people don't realize that those holes are in the bolt/nut therefore they never even consider or look at it as being a possible problem.
Let me know what you find once you have had a chance to check it out. You can come back here and continue our conversation then.
I am still here. Just taking a moment to review information that may be helpful to you in solving your issue.
The only other thing that I can suggest is if the carburetor is not mounted properly or tight onto the engine.
I am going to opt out of your question which will allow for one of the other experts here to add any comments or suggestions that they may have.