I know you just pasted the link.....but that is just waay overkill.....a Hairdryer!!
Steve, once the carb is removed and everything soaking you can see if any dirt went into the intake on the crankshaft, which likely didnt happen,, I would remove the backplate to check, but I doubt you'll find anything....pull the head or at least the plug,,and turn the engine over ((under fuel (soaking)) slowly....dont get squirted by the fuel!!!!!... put it back together oil it up and fix that model, its finally getting warm out!!!...you did good.....Rog
Lastly, CP uses a mason jar,fill it with fuel, alcohol, almost anything, and duct tape it to an orbital sander (this is a poor mans ultrasonic cleaner) stick it in the vise and go walk the dog