Got a bad burn that feels infected, need to clean it with something?

On Saturday since I don't have a toaster I was trying to make toast in my oven and when flipping it my hand touched the top of the oven and got burnt. The burn is about 1 1/2 inches long and on the top of my hand. When it happened the skin turned wrinkly and real white and it hurt to move my fingers. I've been keeping it dry and as clean as possible but even water burns it. I understand it's gonna hurt but I worked yesterday and now it's sorta red around it like an infection. I work in the hospital, I had it covered all day but didn't get a good bandage on it till half way through the day. I try to leave it uncovered but working here there's a bunch of infections going around and I work in ccu so that's where the sickest people are so it's def gotta be covered here. If our hospital had a burn unit I'd go ask them for help treating it but if we get any burn patients we send them to other hospitals. Last night I had it uncovered and it ended up splitting open, it hasn't blistered just burnt skin but now it's open. I'm wondering what I can clean it with that will be gentle but kill all the infection.
Got a bad burn that feels infected, need to clean it with something?
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