I don't know what the optimum range is. It just wasn't that important to me.
It's been ages since I worked with it and how close I came to 1.15V and if the minimum was 50mV, I just can't remember.
You would have to tweak your own circuit to see what can be accomplished.
Also, I used the MCP4802 8-bit DAC. You could use the MCP4822 12-bit to get finer detail.
Maybe add a high/low range by having a 2x or 4x op-amp stage switched into the path?