T3 does brainspotting with me. I like it a lot; but it is slow. It is very focused where EMDR can cause larger shifts. For me, EMDR was good for some stuff but not everything.
And bad news about the length of treatment. T3 tells me that the first several years are spent stabilizing and connecting, and that 10 years is common.

Neither of my Ts (nor the ones I have seen in the past) structure the sessions. They pretty much leave it up to me, although T3 will sometimes say that she thinks we should address something in the next session and then leaves it up to me if we do.