It looks as though your sense wire is located in a less sensitive position. It responds to volt level as it is filtered by the smoothing capacitor. Hysteresis will be 'loose'. This defeats your specification of fastest possible response to a load change.
The solution is to put the capacitor immediately next to the load. Then your sense resistor will be more sensitive to each cycle of current through the coil.
At 1.65V output voltage, I suppose your ampere draw is much less than I guessed. So I toned it down to 50 mA, and am trying a new simulation.
With a coil value .14 uH, your frequency is in the 50 to 150 MHz range. Waveforms will look similar to my post #7 schematic.
I am not using LTSpice, but there is no reason you cannot. It gets mentioned favorably often at this board, and it contains several IC's you might find useful to constructing this project.