As far as I know, you can open an account with only your passport and the employment contract signed by both you and your employer. However the bank will not issue the debit card or the cheque book until you provide a copy of your Resident Permit.

The best option is to keep the account you already have and do a money transfer from Qatar. You'll find lot of places who deals with money transfers. As long as you have your debit or credit card from your existing bank, you could do transactions ( but make sure you inform your bank at home that you are using your card outside of your home country. otherwise the bank will block the card and the account thinking some one has taken over your account).