Hi, sounds like you have got what i have, my bad lips are caused by years of lip biting. the skin on my bottom lip just keeps building up, not the peeling cycle that a lot of people have on here like 4-5 days.
The only way my lips have improved HAS been through leaving them alone,most I have managed is about 3 1/2 weeks but then it becomes so unsightly you have to get the deadskin off.
I think the best method is just NOT to FORCE any deadskin off, this will only irritate the lips, you need a small pair of scissors to trim edges and a moisturizer.