My ring cost $30 and my wife's was I think $300 (I did it the cool way and married in her country with her friends and family). 11 years later I'm still wearing the $30 ring and I bought my wife a new ring. I gave her a 5k budget and she only spent 3k for a 10 year anniversary.
Don't get hung up on simple things. There are some things you need to decide for yourself instead of coming to a board. In a marriage, you will encounter such bigger decisions than buying a ring. This rule applies to marrying a woman from anywhere.
Of course, asking simple questions one would think everyone understands your position. Ah, that's not true. I asked a question and got a 3 letter code named after me (OWW. Yep, I'm the dude). But, I proved being a OWW is successful.
Just do what you think is right and that's the final decision.