Don't wait a single minute also in Qatar. Go to KSA. With 3850 SR. you will find a big apartment including 2 bedroom & can maintain your food expenses. I was in Jeddah before for 1.5 years in 2005-2007. I used to live in a house which was SR. 1800 per month & I found same category house in Qatar is more than 6000 QR. Everything is cheap there even car. Example: Hoda Accord 2009 (2.4ltr) in Qatar is 104,000 QR. In Saudi it's 85,000 SR. and in Bahrain it's 76,00 BHD (76,000 QR.)
I think your housing allownac is enough for your food expenses & to pay house rent. No need to touch your basic.
So, take your decision now.