I would definately try switching to fleece liners which keep the skin dry and help it heal while it is sore.
Second thing I would do is strip the nappies - do a wash with plenty of detergent and then rinse until you see no more bubbles
Thirdly what temperature do you wash at? While sore it's good to wash at 60.
Zinc based creams (such as EFB red clover, sudocreme etc) while they are effective barrier creams aren't very good at letting the skin breathe so don't always help.
It is probably worth your while getting a health professional to take a look to make sure it isn't an infection or thrush as they tend not to clear up without medicated creams
Disposables don't always help clear up rashes - my daughter is allergic to them so it definately doesn't!! :p
There is no evidence (lots of studies etc) that cloth or disposables are any better when it comes to rashes - neither cause nor help them, some people do find that disposables help rashes but others find it the other way around.
Lots of nappy off time is good as is looking at what you clean her with - while she is sore/teething you may need to change this.
While they're teething the wee becomes more caustic to the skin I find and smells really ammonia-y and I have to do more rinses on my nappies with more vinegar (helps neutralise the ammonia)...
Sorry for the essay but I hope some of that helps you. If you would like to try some different creams check the top tips sticky thread above