Mounting any type of optic on a BPS can be tricky.
Browning makes a base that works and there are some custom makers for that gun as well. All are expensive and require the services of a gunsmith that is familiar with that gun.
As far as I know, there is not SpeedBead mount for the BPS, so you'd need to use a receiver mount/base for that sight on your BPS.
The Browning mount is a good one, very secure and will work with that Burris, so it's a good choice.
Thanks,
Clark