In reply to fire_munki:
Firstly well done on figuring out and admitting to this as a weakness - thousands are still in denial!
As others have alluded to, getting good at dropping off steep overhangs won't do much for your fear of falling on 5+'s and VDiffs, since it's such different terrain.
Where to start very much depends on where your head is at the moment, bear in mind these things can only be dealt with effectively in the long term if you build them up gradually in small increments.
So whatever is just outside your current comfort level is the place to start. Examples might be:
-Letting go indoors on a top-rope without warning your belayer first
-Letting go at the lower-off without making eye contact with your belayer
-demonstrating 10 no-hands rests in every VD lead
-Sitting on the rope (clipped overhead, leading) without warning the belayer
-Confidently using an autobelay!
Those are all ones you can do on the terrain you currently climb on.
I regularly introduce folk to lead falls on vertical walls - if managed appropriately it is fine. When falling you're trying to replicate the experience of an unexpected fall, so not having a really tight rope is important (it slams you into the wall) otherwise what you do as you drop is really down to how you fell - being relaxed and cat-like is best.
All entirely my opinion of course. Best of luck tackling it!