I think, it is better to involve the employer of your wife to help you let in with your wife on a family visa. Going by the formalities, even a visit visa has to be obtained for you by your wife. To do that she will have to meet certain prerequisites like the minimum salary requirement, at least 3 months of bank statements (meaning you'll have to wait for at least 3 months after your wife arrives in Qatar and opens a bank account), tenancy contract etc. Tourist and business visas are other alternatives but tourist visa is expensive and is for a very small duration where as business visa can only be obtained by a registered business organization.