The LightMix wouldn't be possible as far as I know - the Environment LightSelect is always going to affect the lighting and the directly visible background at the moment, even if they are two different sources (only way I can think of would be to add the background in post).
However, you can avoid tone mapping affecting the background using a Corona ToneMap Control (in the daily builds - Corona Output in 1.7.3) as that has the options to determine whether it is affected by tone mapping, exposure, or LUT. Use that in the Direct Visibility override and those controls won't change the visible background (though, if you adjust those after rendering, they will, so you'll need to be sure to have set your tone mapping, exposure etc before rendering).