Is there a lip balm that is effective for peeling lips?

Even though I apply moisturizer every night out of habit, my skin is peeling more than in the middle of winter, perhaps because of the dryness from the heating these days. I've been using B.Plain lip balm lately, but the scent is a bit off-putting; I keep smelling something like oil, so I'm thinking of switching. I like the moisturizing feeling, but it doesn't last until morning.

I would appreciate it if you could recommend a good lip balm.