This might be somewhat "sample size of 1," but I was similarly unconventional applicant this year (liberal arts major with even less direct relevance to statistics), and I did most of my non-degree math work at a regional state school as well. I think my application was kind of a wildcard, but I had surprisingly strong admissions results this year.
My undergrad GPA appeared stronger in an absolute sense, but it was only a hair above the school's average GPA, just like yours. Since I was not focusing on Math/Stats at the time, I don't think those grades played much of a factor in my results. Your strong grades since then and your research experience will be much much more important for your application.
I agree that you should apply to a wide variety of schools, but if you find a really strong research match (anything related to environmental statistics, or maybe there is some statistics related to voice recognition technology, where your Linguistics background could be considered a plus?), it wouldn't be a total waste of money to try some applications to top 20 schools as well. Some larger programs like NC State might be more open to giving a chance to a less conventional applicant, and UCLA for example highly values people with strong training in adjacent disciplines. Also, given your academic trajectory and what you've done with stats so far, you would probably be a great candidate for a masters at top statistics programs (UChicago, Duke, ect). If you check the admissions statistics at Duke for example, you'll see that the admission rate for domestic applicants is pretty generous.
My recommendation to you would be to nail the Statement of Purpose, clearly tracing your intellectual development and your unique motivation for entering statistics. I gather that for most applicants, the Statement of Purpose is not hugely consequential, but it is much more important for applicants from unconventional backgrounds.
Overall, some admissions readers may be somewhat agnostic about your undergraduate years, but some might see them as a major plus. It will depend a lot on how you present yourself as an applicant. I feel very strongly about opening statistics to people from other disciplines, so I would be happy to talk to you more over DMs if you like!