BMI is not the savior here IMO. They have significant problems of their own, although somewhat different than ASCAP.
Whether or not they will be better for you – only you can determine, and it will most likely take years to know for sure.
As for longer statements and lower payouts – that’s a BMI thing too. My statements are 4-5x’s longer than they used to be, and littered with $0.01 payouts. When questioned about my catalog and placements being 3+ times larger than in the past, but payments not growing accordingly, BMI had no answer other than “their computers figure it all out and they are always right”.
That was back in the day when you could actually get ahold of a human. Post Covid – good luck with that.
Best of luck with your decision.