I have one suggestion for you. Use an OP-AMP as a comparator mode. use voltage divider from input voltage feed IN(+) of OP-AMP and in the negative terminal of OP-AMP use a reference voltage which indicates you lower limit of voltage. you can generate TL431 as reference voltage generator. drive a MOSFET from the output of OP-AMP which will bypass the input when it is lower than expected output. The same method is used by arduino uno board. you have to modify the reference voltage generator. Please check the arduino uno schematic here. https://www.arduino.cc/en/uploads/Main/arduino-uno-schematic.pdf .
You can configure a converter that will both reduce and boost the input voltage with the same circuit, so it will work over the voltage range you describe. The downside is such wide range convertors tend not to be very efficient (compared with the theoretical maximum of >96% or so) especially as you approach the limits of operation.