Go for Islamic Bank for your inner satisfaction. In terms of what you've to return is almost same both in conventional and Islamic Banks. Never go to Hybrid Banks i.e. Conventional Banks having Islamic Banking Branches.
Never dealt personally but have heard that Bank Islami and Meezan Bank are good.
If you're paying high rent and going to get a house where you can shift immediately, this option will be suitable. Other wise by the end of deal, you would have paid too much extra money (Although raise in price of the building will compensate some part of it).