Girl In College Spreading Rumors That I Physically Assaulted Her

Location: New Hampshire

Throwaway account, leaving out some details to try and avoid doxxing myself

Had a situation roughly a month ago where I caught a girl stealing from me at a party, had some arguments then left, here's the exact sequence.

1.) Initial confrontation from the stealing

2.) Later bump into her again while pushing through the crowd and have a verbal argument

3.) Mood is ruined at this point so I leave early with a friend (out of my own will, not kicked out)

Few days later, one of my friends is talking to them at the food court, later comes up to me and says "man they were talking crazy shit about you" and tell me what they were saying. Few hours later I see them post the exact same stuff on YikYak. (I have this screenshotted and have remained in touch with my friend that told me all of that)

At that point, they're not accusing me of full-on assault yet. It's like petty high school drama that's annoying but relatively inconsequential because it dies down pretty fast. However, some weeks go by and apparently the rumor has shifted into me shoving her into a wall which is like a million times more serious because that's fucking assault.

I think the sequence of escalation is pretty clear and the events that occurred at the party don't line up with that at all (crowded room, wasn't kicked out, no confrontation from the crowd, I left before her willingly). Feels like if a guy pushed a girl into a wall at a college party the people there would make a pretty big deal about it for the most part as well as the girl actively trying to get that guy kicked out (but that also seems largely like perfect victim fallacy).

I feel like my reputation elsewhere has been largely positive; character testimonials would help me a lot. But I am noticing some people have told me they've heard that rumor.

I'm currently between escalating this to the school conduct board (which would be pretty time intensive during midterm season) and getting a lawyer to send a cease and desist. I'd also be open to other options if they exist. Just kind of stuck on what to do.