Of all the crazy things... thinking thru my response to your question and I had a sudden flash of illumination into my worst shooting problem with my longbow.
If you're freezing below the target, then draw slightly above the target and relax the sight into it. I did not say to sky draw! Just slightly above the target and relax the pin into the dot.
Some years back after reading Abell's 'Instinctive Shooting' book, I changed my stickbow form and never shot anywhere close to as good as I did before. Here recently, I've been trying to recover the form I used to use when I did shoot good. Slowly but surely it's all been coming back. I think this was the last piece to my own puzzle!
Anyway, as far as using back tension vs trigger pull, I think BT is best for targets and trigger pull - as long as you don't punch the trigger - is best for hunting. If you have a problem with punching, then stick with back tension for all your shooting.