As an update...
I took the top ends of the carbs off this evening and indeed, they had been shimmed. Since they were shimmed and my mechanic had suggested that I remove the shims if present, I decided to give it a try.

I let the bike warm up and then took it out for a VERY brief test. My initial reaction was that it felt stronger than Saturday and my gurgling had been reduced. It's a bit chilly out tonight so I kept the ride very short. I did get one good Pop, but I really need to take it out for a better overall test.

My next step is to take some time for a real test and try to compare it against what I heard and felt over the weekend. If I am still getting strong gurgling or popping, I'll first try 1/4 turns (out) on the carb screws and see what changes.

Knowing now how easy it is to get to the needles, I am going to see about getting a pair of Thruxton needles so that I can compare and contrast them against my stock needles.

By the way, who sells the Thruxton needles? I assume that I can get them through my dealer...

Thanks for all of the help and advice,
Steven