It doesn’t hurt at all to try. Nurses are professionals who need to pay attention to detail - or patients die. And patient care is a lot of hard work. Nursing schools understand this. I think they put a high priority on applicants who have demonstrated by their high school grades that they work hard and attend to detail. In their shoes, wouldn’t you? Test scores need to show that a student can do the work, and yours are above average so they already show that. Georgetown might be the exception.
You’re doing the smart thing to take the ACT again, hoping to bump it up closer to 30. But right now you have nothing to apologize for and are a strong candidate anywhere. Just prepare a well balanced list of schools to apply to, and you’ll get in to a good nursing school. And I’m sure, you’ll be a very fine nurse. There’s more than one path to becoming that nurse, and that’s really the ultimate goal. Where you go to college is just the means to get there.