help with my crush

It’s been 4 months since I met a girl, my crush. 2/3 weeks after we met we went for lunch. From then on we were never together again. But the issue is that there are weeks when they don’t talk and there are weeks when they talk 3/4 times a day on Instagram. We were never together again because we each live in a different city and the school is in the city in between. We’re shy and we already know that’s why we don’t talk at school. Arranging something outside of school is tricky because of time and transportation. But I’m fed up, I feel like I’m wasting time… She also doesn’t go on her cell phone much and doesn’t always answer me on Instagram because she doesn’t always go there at a time for that. I think on WatsApp she responds more and faster but I don’t know how to ask, any ideas? Also, I would like to know the tips you can give me so that I can get closer to her, I enjoyed spending a day with her but I don’t think it’s time, I don’t even know how I was going to invite her.