Hey Calix, I wouldn't wipe off all the buildup, that is seriously causing trauma and your lips will never heal that way no matter what ointment you're using. I've been using Bepanthen at least 4-6 times a day for the past 4 months and I would be as careful as possible not to forcefully remove any build up. I would just rinse my lips with saline solution, and whatever skin came off was ready to come off anyways. Around the middle of the second month of this my buildup drastically decreased because I was trying my best not to cause trauma.
I think this is the only way to truly go about this, if in fact your EC was caused by trauma, and not some fungal or bacterial infection.