Same very good results with Corel AfterShot Pro 126.96.36.199 which supports 5DMk3.
Raised the shadows till the max - no problem with shots at ISO 100 shoot in sun (contre-jour). Ok, for nit-pickers there is very very very low noise. And this without any other Noise Reduction/Post Processing adjustment.
But if one use one (or more) NR/PP engines from AfterShot the results are (almost) perfect - especially using Noise Ninja Lite and Perfectly Clear (both embedded in AfterShot).
Taking in account that it is a very good, very fast, mature and relatively cheap program (in fact it is the old Bibble 5 which Corel purchased) I'd recommend it over LR.