As far as I know and from my experience in our company, a husband cannot get his wife a residency unless after 6 months of stay in Doha, since one of the required documents fo the Immigration is a 6-month bank statement in order to get a Family Residence, or 3-month statement for a Family Visit Visa (valid for 6 months only).
In other terms, unless you are sponsored by a company you cannot get a residence untill after six months from your husband's. the toursit visa, suggested supra (going to Dubai every 2 months) would be the only solution...