I can see that you like this girl very much, and you are also a very rational person. Long-distance love is really difficult and unlikely, so you know that if you can't get into the same university, there may be no hope. But you can also try to go to the same university as her. In fact, all universities are similar. It's up to you. Except for the cattle school like Tsinghua Peking University, other schools are not particularly different.
It's normal for girls to lose their first time in college. You can't ask her to make an exception, can you? Besides, as you said, she is beautiful, lively and lovely, and there must be many boys pursuing her. After having a boyfriend, it's basically the same, because college is not like high school, where it is closer to society and people are more realistic. Don't rule out the possibility that your girlfriend wants to try it herself, because such a thing must be consensual, otherwise something will happen.
You graduated and are no longer together. You can be her good friend and resonate with her, but don't ask her, because if she is not your girlfriend, you have no right. You can remind her appropriately, but I think people always grow up slowly, and they can't escape setbacks. As long as you always support her behind her back and comfort her when she is depressed, I think what you have done is enough.
Relax, or enjoy your every day together.
Try harder if you don't break up, but trust her and don't let her think you don't trust her. Girls are not as stupid as they think. Don't worry. As long as she has you in her heart, she won't do that. This is different from boys. Maybe you'll cheat first.