Hi!
I don't mean to be rude, but I'm not sure about the safety of doing that - the vagina is a very sensitive area, and you need to be careful what you expose it to, as you can change the normal flora (the bugs that naturally live there) and actually put yourself at a higher risk of infections.
I understand "going natural" and stuff like that, but I'd recommend to anyone who wants to do this to talk with their health care provider first. BV needs to be treated appropriately, as it creates an environment in the vagina that actually makes you more susceptible to getting infections up into your uterus and pelvis, leading to pelvic inflammatory disease (PID). PID is bad news and something you want to avoid at all costs. If you think you have an infection, go see your HCP and talk about treatment options. Definitely bring this up and ask about it, but it's better to be safe than sorry, especially when dealing with something like the reproductive organs. PID can lead not only to fertility problems, but it can even cause death. This hydrogen peroxide thing might "cure" it, but it may not be safe, or you might be ignoring possible infections that resulted from the BV.
I want to note that
not everyone who gets BV will get PID, but there is a risk associated with it. Be careful, see someone about it. At least make sure your treatment methods are safe before you do them. Putting hydrogen peroxide on a skin wound is very different from putting it on a tampon and leaving it in your vagina. Please be careful! You've only got one reproductive tract!
Blessings and good luck with it all!