Hey, I'm from Georgia! The situation is same here regarding physics and math, we have schools dedicated to these two only and many people who want to go on that path are kinda easily accepted into the top universities, however biology and chemistry is completely disregarded, no international contests or anything like that and neuroscience is almost nonexistent (especially what i'm interested in - molecular bio crossed with cognitive neuro) since funding is always scarce and as an undergrad I can't work at a lab and get paid well, so I have to balance myself with a different part-time jobs.
I had some figuring out to do too. At first I started studying at a medical university (I was fascinated by psychiatry, university was totally shitty though) and after three years I've changed my major, started from the scratch and finally I'm graduating so don't worry, it took me 7 years to get a bachelors degree as u see. Also I think that Georgia is an unknow country in the US scientific-wise, especially when I'm studying at the university that was created only 7 years ago.
I wish you all the luck and hope you get accepted to the program of your desire, thank you for your response ❤️