Nicknames - can't choose, opinions wanted

I have always had a very un-shortenable name, but I'd like to start introducing myself using a nickname - but I can't choose what it should be. I want this name is kind of become a social replacement for my current one, so my choice will be set in stone, so to speak.

I really like the name Rina/Reena (Ree-nuh) and I prefer the second spelling. but I'm worried that lots of Indian people have this name and that it will be misleading and kind of like stealing if I picked this spelling.

Rina just feels less friendly to me, but maybe that's just me --

Thoughts? Any contributions are welcome.