Best way to wash when pigeon has lice and a broken wing?

[Brooke]

The pigeon that I just found has a broken wing which I set last night. I also found lice on the pigeon so I would like to give it a bath in borax, (which I read from a previous post is good to use) and use the lice spray. I need some advice though, as I don't know if I should remove the bandage or keep it on. When the bandage is removed, his wing hangs oddly and I don't want it to be in pain, but with the bandage on, I don't know if the solution will be able to get under the wing. The bandage is a self adhering cloth sports bandage, and the package says it can get wet and dry. But what do you think?