No more ointments. The ointments you mentioned are for infections and the more you use it now, the less effective it will be when you do actually have an infection. Also, the oil in the ointments helps hold the heat in, you want it to come out. You may be in turn making the burn worse for yourself.
I second going to the doc. This could become a rather large wound as it begins to heal and you don't want any germs to get in there. They will advise you on how to best treat this, especially as it begins to scab.