Corcaoich, I see you are member here or in Qatar for more than one year; so you are familiar with the live here, and if you'll check QL - rental or the newspapers - as Gulf Times, I think you will find all the details requested for a shared villa, by giving a phone call. As far as I know, for 10,000 QR you will get an apartment (2 bedroom, I suppose) into a compound villa where are shared the common facilities (halls, gym, pool etc), as in a block of flat.
If you are interested for a cheaper place of living, try an apartment in a block of flats, surely will be less than the amount you had mentioned.