If you push wires and cables into those delicate passages you won't have to worry about spending any more time on that carburetor: you will probably destroy it. Never use scribes, awls, wires, or any other hard object in those passages. Pressure is a little bit questionable as it can lodge things in there even more tightly and even blow out the plugs at very high pressure.
Disassembly and chemical and/or ultrasonic are usually the best options but you can also try an old trick.
Fatten up that idle circuit quite a bit with the mixture screw. Remove the air filter from the offending carburetor and crack the idle jet loose just a tiny bit. Start the engine and operate the throttle from the back of the car. Spin the engine to about 3,500rpm and hold your hand over the velocity stack on the offending cylinder. That will exert a ton of negative pressure on the idle system and the atmospheric pressure on the fuel in the float bowl will push a ton of fuel and hopefully the obstruction through the system and out the idle-fuel port.
Or it won't in which case you'll have to just pull the carburetor and do it the right way.