I know this is most likely a very unpopular topic, but I thought I should share my experience since there isn't much 5.56 SBR info out there. I had no other option this year except to hunt with a 5.56 SBR.
I was only left with a 5.56 SBR after selling off all my guns due to financial troubles. It would have been sold too if it didn't take so long to transfer and find a buyer. I needed 4 to 6 deer to cover what my family eats every year and had only killed one this year before I sold my 6.8 upper. I have tested 63gr Fusion and 70gr TSX years ago which both have enough velocity to expand past 100 yards out of a 11.5" barrel. Both have expanded nicely at 100 yards when fired into water, waterlogged phone books and waterlogged Styrofoam (I know this doesn't relate to real world).
I have limited myself to only shots to under 50 yards, broadside only, and aiming for double lung/heart shot while avoiding the heavier shoulder bones. I am using an 11.5" SBR with 1:7 twist and 63gr Fusion.
First two does were both hit a little forward of mid ribcage and high (climbing stand hunting). Both had complete pass through with nice exit wound sizes. One was heart shot and dropped in her tracks when shot at a range of about 40 yards. The other was shot at about 20 yards out, missed the heart and made it about 10 yards before piling up but left a track-able blood trail.
The last was a 6 point buck who was a bit heavier and was shot at 40 - 45 yards. The buck was walking and I hit him couple inches farther back than mid ribcage. Made a double lung pass through and he ran a little under 50 yards. Blood was difficult to follow the first 10 yards but picked up a lot after that.
All rounds broke ribs on both sides and still exited. All exit wounds were were similar to the size I typically see with a .243 using Remington CoreLoks. There was more blood trail than I expected. I think this is all due to using premium bullets and very short ranges. Although I think this would work out to 100 yards, I don't want to push it and will keep my shots under 50 yards. I am going to start to carry the camera so I can get pictures and hopefully add them to this thread. I don't recommend this unless you are dead on steady shot and able to watch deer walk because they are outside of your range.
Fusion fired out of 11.5" barrel at 100 yards into cardboard box lined with a trashbag. Box was filled with water and shredded cardboard and newspaper.