Blackheads on my nose don't go away easily. Are there any gentle nose packs available?

My face is dry, but my nose is oily and prone to blackheads.
When I apply the nose pack, the blackheads come off easily and look fine for a few days, but then they reappear quickly. The nose pack is effective, but it seems like my pores are getting a bit wider after using it repeatedly.
I get pimples every now and then, and if I squeeze them with a cotton swab, they leave pits.
Even if I try to cover the blackheads on my nose with makeup, they quickly become patchy and the makeup doesn't apply well.
The nose pack I am currently using seems to irritate me when I apply it. Is there a nose pack that can effectively manage blackheads without causing irritation?
How do you manage recurring blackheads?
I would like to know how to manage blackheads so that my pores do not get bigger.