F/T won't help.
Freezing only kills adult parasites. Parasite eggs can go dormant and hatch out during more optimal conditions (body temp).
Pinworms are pretty common in BPs.
And it doesn't matter if it's mice or rats. Both can carry internal parasites. You won't be able to keep parasites out unless you get a clean source of feeders.
I personally breed my own rats and deworm them annually and all new rats introduced to the colony (not babies till they're old enough). I deworm them to avoid spreading parasites to my snakes and ferrets.