I'm fairly new to BP's but I hope my experience can help you. I currently have mine in a 20 gallon long also and I'm only running 1 UTH and 1 CHE. The probe for the thermostat should never go inside the enclosure cause your snake can dislodge/move it which can give the thermostat a wrong reading and burn your BP. Most recommend to have it between the bottom of the tank and the UTH. I have mine taped under the UTH but I recently discovered that the tape came loose which caused the probe to have a small gap between it and the UTH. The hot side went up to 99. Thank goodness the top of the paper towels where my BP usually lays was only 87. For the CHE, I have it on a dimmer and a thermostat (for redundancy and safety) with the probe just dangling by the CHE. My BP likes to get caught in the probe wires if I attach them to the wall so I try to not use wires in the tank when possible. I have a probeless Acurite that she knocks over but it still works well and she doesn't get caught up in anything. And the best way to measure the hotspot is with a temp gun. You'll love that thing once you get it.
Maybe consider hot gluing the probe to the underside of the tank rather than tape . The glue can be gently pulled or cut away if /when required