Thanks again for your help. I really appreciate all the help that you've given. If you don't mind, what do you think of my circuit below? I revised it following your example schematic, which helped a lot, and I still get the output that I want. Parts are subject to change depending on tolerances and values, but it seems to work in LTspice, at least up until I try and include the TLC272. The program just bugs out due to timestep stuff.
The INA293 with the sense resistor manages a 1-to-1 ratio for measuring current without a large voltage drop, which is used by the TLC272 to compare it to a reference voltage, and then it does whatever it wants, in this case, light up an LED. The respective op-amps are tied to the correct supply reference so there should be no issues with the current draw. The potentiometer at I_ADJ allows for easy adjustment for current.