that's actually a decent burn, in a bad spot in terms of circulation and germs ...
i would actually not choose neosporin, i would take a relatively large loading dose of ibuprofen, and then i would incorparate some hydrocortisone AFTER bacitracin application ...
silvadene cream would be ideal, but you probably don't have access ...
you cannot use the steroid without the antibiotic, or it'll blow up and head the wrong way, but if you are using the antibiotic, already, A COUPLE OF DOSES (only) of the steroid will help it get to where it can start to heal faster ...
it's kind of like throwing gas on a fire to gain control of it, though ...
honestly, though, it warrants silvadene ...
might as well start putting the vit e on it soon, too =)