A few years ago I was on visit visa, and I was able to open up a savings account. The bank just asked for my passport and took copy of my visa stamp page. I got an ATM card but no cheque book. This was with Doha bank. Try smaller less busy branches and speak to a customer services person and discuss your options with them. However, this was a few years back,.. they might have changed those rules. Try a few banks and ask if they can open you a savings account. Good luck !