rushing as an international student

I'm an international transfer (sophomore) coming to UGA and I am trying to decide if I should go through recruitment. I've seen a few posts on here about rushing as OOS, but I was wondering specifically about international students. Do many of them rush?

I am worried about it because the high schools/university that I went to really didn't have many (if any) student involvement like clubs/sports/leadership positions etc so I feel like this will be looked down upon.

I also don't know anyone in greek life so my none of my rec letters would be personal so I don't know if that would also put me at a disadvantage. Are those things that sororities might take into consideration when it comes to international students?

I chose to transfer to a school in the US (and specifically UGA) because I wanted a school that I could get involved in and the opportunity to join greek life was a big factor for me, but now I'm wondering if its even worth it going through it because I feel like I'm in a very disadvantaged position compared to American students.

I don't care about rankings, but, realistically, what are the chances of getting a bid?