Everything I know about BCP says they spawn dang near before everything else in a normal pond. That's part of the problem as I understand it, the spawn of BCP get a head start on everything else - so the YOY are predacious of most other fish ASAP.
I'm one of the rarities that has managed to have 'balance' - if there is such a thing - my big pond has BG/LMB/HSB/BCP/GSH(in theory)/CC(also in theory)
I'm on year 8 of the BOW and can consistently catch LMB in the 90-100% RWE in most age classes, mature BG and some of the prettiest BCP you have ever seen.
My real focus on preventing overpopulation of the BCP is pretty simple...take out a LOT of them every year. This year's count is looking like it'll finish around 450 or so. We're at 392 so far. I keep fairly extensive creel reports and can be darn near 100% positive of control of the fishing pressure.