If you want to keep gamma = 2.2, for the range covered by 8-bit sRGB, the following settings bring you as close as possible:
- contrast: 2.48
- toe power: 1.28
- shoulder: irrelevant, will be inverted
- black relative exposure: -11.72
- white relative exposure: 2.33
- dynamic range scaling: 0
- advanced params at default (target black 0%, white 100%, toe/shoulder start 0%, gamma 2.2).
If you want to avoid that highlight clipping, and use gamma 2.2, the overall fit will be a bit worse, but:
- contrast: 2.61
- toe power: 1.19
- shoulder power: irrelevant, will be inverted
- black relative exposure: -11.45
- white relative exposure: 2.47
- dynamic range scaling: 0
- advanced params at default (target black 0%, white 100%, toe/shoulder start 0%, gamma 2.2).
If you set gamma to 5:
- contrast: 2.45
- toe power: 1.05
- shoulder: irrelevant, will be inverted
- black relative exposure: -18.99
- white relative exposure: 2.41
- dynamic range scaling: 0
- advanced params (other than gamma) at default (target black 0%, white 100%, toe/shoulder start 0%).
If you want to go bonkers: 
- gamma: 100 (yes)
- contrast: 2.34
- toe power, shoulder power: both irrelevant, will be inverted
- black relative exposure: -11.18
- white relative exposure: 2.45
- toe start=100%
- shoulder start=0%
