I am trying to help you, not to upset you concerning the shop and what they have and haven't done. Please don't shoot the messenger.
If I sounded on the defense, I apologize. It was not my intention. I simply wanted to tell you what I have done far, and question if these theories still applied.
I decided to take apart the working carb, because if one float valve is sticky then it’s only a matter of time when the other one will be too. To my surprise, this float valve looked completely different! It has a cover AND a washer! Could this be the reason the other keeps flooding? And if so, could it still function properly for 50 miles before developing this issue, or would it be an instant thing? Where can I source a replacement?
~~UPDATE~~
I checked everywhere looking for that washer in the off chance it fell during removal, but I couldn’t find it. Luckily I had another pair of carbs, so I took a washer off one to use with my good float valve. I then found the correct washer hidden inside a tiny pocket within the frame. I had previously checked every nook and cranny with a flash light, but I guess I didn’t see it before because it was a red piece of plastic (or something that can handle gas I’m assuming). I installed it, and now no leaks.
I will give the shop the benefit of the doubt and say the washer error was on my part, but it still doesn’t change the fact that these clogged up after 50 miles. Yes, it’s possible that they did everything right, and something simply got missed within the lines, but it’s just a little irritating that EVERYTHING we paid them to do had to be redone.
~~UPDATE TO THE UPDATE~~
As I was writing the first update, while the car was running, it started flooding again.