Don't want to rain on your parade, but I thought I'd offer a suggestion.
Look at this link:
Several carbs for your model of engine, running from $40 to $125.
Not sure if the different ones are interchangeable, but if you could buy one of these, bolt it on and get her running, it might help keep the project moving forward for a relatively minimal investment.
There is a reason many small engine repair shops will often just bolt on a new carb instead of messing with the repair kit.
Either way, good luck!