Current is always = V/R.
If you want the current to be less variation over R, try to make the V has the same trend as R, so that they cancel each over corners.
Having current dependant on R may not be an issue to some designs, such as amplifier. If you have a bias current = Vref/Rref, and the amplifier having the resistor Rload same type as the Rref in the bias current, basically you still get relatively constant signal swing over corners, proportional to V/Rref*Rload, if Vref is bandgap voltage.