I'm joining this thread because I've got a very similar problem--if indicated, can of course start a new thread.
I have a Tanaka 425TBC weedeater, with a Walbro HDA44 carb. It does start, but at high speed, dies unless I choke it about halfway, so I guess it's running lean. I completely rebuilt the carb, including removing the Welch plug covering the idle holes pocket, over the (three) idle holes, and the plug over the high-speed jet. On this model, there's no high-speed check valve as such, a screen serves this purpose. I did not soak the carb once dis-assembled, but cleaned the passages with carb spray and blew them out with compressed air, and am pretty sure there's nothing blocking any of the passages.
Willie, I assume you tried squirting a little gas into the carb throat and tried starting? Also, if it's a Walbro, there's a tool to pop out the main nozzle check valve (which obviously I did not need, given the above).