It's coming, and I'm somewhat pleased with my progress.
That's good, you should be.
Most people want to jump into double hauling before they have the backcast down, and it just don't work. There is no magic in the double haul. Jackster is 100% correct. Get the stroke and timing down and learn how to tighten and open the loop.
There was a gentleman's competition on another site (professional competition casters) which was a 5 wt distance competition with the line hand in the pocket. Even those guys were amazed at the distances they were able to achieve without the double haul. Most cast only about 12 - 15% shorter that way than their average when using the double haul. And there were a whole bunch of them involved.
Of course, it was a lot more work with long lines carried - but it was truly amazing to all.
You're getting there, keep at it.
Once you start feeling a good tug as your backcast unrolls, you can try shooting a little line into it, the way you are doing on your forward cast when false casting. That will do several things.
1) It will keep you focused on executing a good backcast. Most inexperienced caster's minds are intently focused on the forward casting cycle, and shut down completely at all other times.
2) If the line actually shoots, it will let you know that you have executed a decent backcast - and if not, you haven't, and cannot expect a good forward cast to follow it.
3) Shooting line into the backcast is half of the double haul, and you will be building muscle memory for the hardest part of the double haul to get.
4) It will shorten the number of false casts needed to get the fly in the water where it belongs.
5) Once this becomes muscle memory, you can shut your mind down to everything involving casting, and concentrate on the fish moving across the flats, or rising in an eddy and so on.
That is how I am when fishing (as my ex used to say). Totally mindless at all times.