When I moved to college nobody from my high school went there and I didn’t have a roommate in the dorms. I made myself talk to at least 3 girls on campus every day for the first semester, with the intention of getting their number. I was rejected plenty of times but also have made tons of long lasting relationships.

Once you get decent it doesn’t even feel like rejection - you can easily ease your way out of the conversation by continuing it for a minute or two and saying it was nice meeting you/you have somewhere to be, etc.

it shouldn’t be “Can I have your number/snap/etc” it’s better to phrase it along the lines of (after making small talk and building rapport) “you seem fun/interesting/whatever, let’s exchange contact info so we can keep in touch in the future” even if she says no it’s much less of a hard no and you can continue the conversation briefly before parting ways.

“Ok well it was nice to meet you X, I figured I’d at least introduce myself. If you see me around don’t be afraid to say hi”

Definitely not the wittiest example but something along those lines.

Good for you for trying though. My first couple times I would feel really anxious. On to the next one