RE: Which BTR would you recommend and why?
If you are going TRU Ball I would recommend the BT gold instead. Both are excellent choices, however the head on the TRU Tension is designed for release rope, not string loops. It may be a bit harder to get off compared to a BT gold.
To be honest, I am seriously thinking about using release rope. I would bet money it would help save you left right fliers quite a bit. You can shoot that also on a BT gold.