The one from carter that be set set as either a trigger or pure BT is the Solution 3. I tried it and didn't care for it, as I prefer a deep grip, and that one doesn't allow for it the best.

For pure BT, I would recommend the carter solution 2.5. It has a safety and is very nice. If you care to shoot a trigger release with BT, then I would recommend the carter chocolate addiciton. One of the few trigger releases that you can adjust the trigger tension independently of the travel. You can also change the springs on it easily for more or less break.