I have had a dry nose for years and it also bleeds sometimes. I use Mupirocin and it works great! You need a prescription to get it. Also if I run our of Mupirocin, I use Neosporin which is an over the counter ointment. It works pretty well but not as good as Mupirocin. I also put Mentholatum in my nose every night when I go to bed. It keeps my nose moist and helps me breathe.
I hope this helps.
PML