Well if you end up living abroad then does it matter to your parents which nationality or ethnicity your wife is as long as she's Muslim? Don't limit your search to Bangladesh. It's a big, wide world. Could be Kosovar, Indonesian or even Maldivian.
I know of
plenty of Bangladeshis with Japanese wives (who have become practicing Muslims) and some even have been happily married for twenty some years....
If I was a parent - I'd look for my kid to be happily married (prime objective), not who he/she was married to.....
Life is short - being open-minded is the least we can become......
Choose wisely and take your time......no rush......
My apologies for the OT post.