I have only backcountry skied about 30 days in the past three seasons. I have three pairs of skis that I have used - 188 K2 Coomba's (105mm) full camber, !95 Armada AK JJ's (120mm) rocker/camber/rocker and 190 Fat-ypus A-Lotta's (140mm) early rise rocker then camber with flat tails, all with Salomon Guardian Alpine Touring bindings. I'm an athletic, fairly fit 6'7", 240 lb, ski pretty much everything skier. By far, my favourite skis for skiing powder are the Fatypus. They have great float and I also like the way the flat tails provide more float and support in the backseat, should you go there, purposefully or otherwise. Despite their size they are very nimble and hold a great edge on ice. They are the most versatile of the three. Given that I go backcountry to ski powder they are the skis I take (I'm not worried about a little more work on the way up, I'm worried about a lot more fun on the way down). The flat tails are also advantageous for skinning. They are also relatively light. They are also unreal crud busters.
If I were you I would go to the Fat-ypus.com website, checkout the Mack 5 FT (flat tail), the D'Riddum FT and the M5 FT. Since you are not quite my size you may find the D'Riddum FT (which come with an optional beefed up stiffness) 118 underfoot, 15 m radius, to be to your liking. The bonus here is Fat-ypus is selling 2016 skis for $390. The M5's are 106 underfoot. I haven't skied on these skis but, if they are anything like my A'Lottas you can't go wrong. The funny thing is I bought the A-Lotta's purely for their width because I wanted them for the season ending pond skimming contest. Well a funny thing happened on the way to the pond - I tried them on snow and loved them, in all conditions but the iciest of ice.
You can checkout the pond skimming at https://www.youtube.com/watch?v=7DTIoNYuyUY, and https://www.youtube.com/watch?v=vZyDwqg1_OY.
I have no affiliation with Fat-pus but I will be buying more of their skis for sure.