If the ambient return holes in the plate are clogged next to the jets, I found a wire can cause more harm than good because it will scratch the brass or pot metal, which will collect more crud and make it happen again sooner. Holley's were notorious for this, and Holley's solution was an eye dropper with thinner, which most of the time didn't do crap. I finally came up with my own solution...
Take the long skinny spray tube off the end of your can of spray carb cleaner, (preferably the nasty stuff with MEK in it) walk over to your grinding wheel and put a fine a point as the end of the tube will hold on it. Put it back on your can of carb cleaner, hold it in place with your fingers forming a seal around the tip and to prevent blast back into your eyes, and yes, it may still blow the tube off of the can nozzle too (oh yeah, wear safety glasses). A couple of blasts usually did the trick. Sometimes letting it sit and doing it again was needed. With the Holley's, they would run with a rough idle, act like a vacuum leak, and it would instantly go away with this trick. With cars and Holley's, these were easy to get to without dissasembley, and you could even do it with the engine running while a buddy goosed the throttle, a win win.