Can someone give me advice on a burn on the back of my hand?

So I accidentally burned myself on a stove rack while baking. At first it was no big deal. Next day it had dry burnt skin and I forgot about it and showered and it peeled off. No big deal but then the following day, I forgot about it and rubbed lotion on my hands because they felt dry and rubbed off the new scab. That really stung but then I became mindful of it.

Only the following morning it was feeling itchy and before I was fully awake I scratched it and had a rude awakening but really damaged it.

So I put some vitamin e ointment on it and covered it with a bandaid that was waterproof so I won’t damage it again. It’s healing but it’s going to leave a nasty scar and I’m not sure if I should continue to put a bandaid on it.

I would appreciate any remedies that can help it heal quickly. Also should I risk not using a bandaid while I’m awake? If yes, what can I put on it that would protect it from any further damage?