How can I get rid of the white sebum that keeps popping up?

It's embarrassing, but the pores on my nose are huge. My pores are already big, and I produce an exceptional amount of sebum, so they are always stuck in there. It's stressful because it feels like they just keep getting bigger without ever shrinking. Even though I try to take care of them, I only manage to remove the sebum that surfaces; the sebum deep inside the pores doesn't disappear unless I squeeze it out. I used to squeeze them with my hands, but the sebum would fill up again within a few days, and it seemed to just make my pores bigger. So now, I don't force them out and instead use sebum softeners and exfoliators. However, maybe I just don't know the trick, but the sebum inside the pores won't budge. Is there any way to thoroughly remove the sebum deep inside the pores? I feel like I need to deal with the sebum first to help my pores shrink a bit. Please recommend some treatments that are effective for sebum and pore care.