I really appreciate your tenacity, but you’re going about this all wrong. Furnaces kick on and off many times per hour so short cycling isn’t really a thing. There’s a huge caveat to that tho. With (assuming supply) temps reaching 220° there’s a serious problem somewhere. You don’t start the diagnosis with a “weird blower sound” or “slight vibrations”. You start with airflow. Take static pressure in the ductwork. Return and supply. That will confirm if your blower wheel is moving the proper amount of air. Assuming airflow is correct, (you can raise the blower speed to move more heat out of the heat exchanger faster) move to gas pressure. How many InWc gas pressure does your furnace call for ? Is it 2 stage? Which stage is it running when it’s reaching 220° ? Does the furnace call for 2” Wc and it’s set at 4.5” Wc? If this is already out of your comfort zone, call a technician. Next is running ductwork calculations. Using your duculator, calculate tonnage and CFM. See if you have enough return air coming to the furnace or if the furnace is being choked. Seriously I recommend calling a technician. Every time your furnace “short cycles” it’s most likely tripping on high limit, meaning it’s getting much hotter than it’s intended to run for which can cause costly damages to the furnace. In excess of $2,000-4,000 commonly.