I think you are exaggerating a bit. 3bdr semi-furnished in a compound near a mosque under 10k? At this price forget about compounds and look for apartments or partitioned villas. Also, the mosque requirement is ridiculous as Qatar is full of them and you will always find one that is a walking distance from you.
So based on this restart your search on qatarliving and propertyfinder.qa and check. I am sure you will find something.