WG,
Happy to share. To be really honest, I am not convinced that fly selection is nearly as critical as presentation and making sure the fly is down. The two biggest fail moments I have seen not only from my own rod but from others is the fly not getting to the bottom, and not making a natural presentation.
Having said that, I use a few different flies that I have confidence in.
-Blood Dot
-Head Stand
-Back Stabber
-Wooly Bugger
I tie multiple variations on all of the above. I think another thing to keep in mind is most people make the mistake of throwing flies at carp that are far too big. I approach them much the same way as trout since their sub surface diet is pretty similar. I more often than not am tying on a size 10-14 hook and 3x-4x tippet. As far as color with the back stabbers and wooly buggers, I tend to stay with brown, black, or green but will occasionally venture into some brighter color combo's depending on water clarity.
The blood dots I will use a similar color selection that I would throw at Steelhead. The fish above took a Chartreuse with an orange dot. I think my most successful color combo is peach with orange center.
I will make one disclaimer. Most of my carping is in moving water throwing at fish that range from 5-15lbs. If you are fishing ponds, lakes, etc.... for larger fish on bigger water, the game changes quite a bit.
Good Luck and Tight Lines!