Split lip pretty bad and can't stop picking because it feels weird

I was intubated last week and the breathing tube was positioned to where it made my upper lip swell. While I was in the hospital, it was swollen and sore, but fine. Since getting out, it became a scab, and of course I began picking it. Now it just bleeds at random. I'm making it worse. I'm digging into it. It's embarrassing. I don't think they could stitch it even if I went in because it's been several days and most stitches can only be done in the first 12-24 hours after injury. Idk if it's different because it's the lip. When I eat, it makes it feel like there's something on it, like a bagel with cream cheese (I know probably not my best choice for this) What should I do?